library(readr)
cancer <- read_csv("C:/Users/batul/Desktop/MVA/LUNGCANCER2.csv")
## Rows: 309 Columns: 18
## ── Column specification ────────────────────────────────────────────────────────
## Delimiter: ","
## chr  (1): LUNG_CANCER
## dbl (17): GENDER, AGE, SMOKING, YELLOW_FINGERS, ANXIETY, PEER_PRESSURE, CHRO...
## 
## ℹ Use `spec()` to retrieve the full column specification for this data.
## ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.
str(cancer)
## spc_tbl_ [309 × 18] (S3: spec_tbl_df/tbl_df/tbl/data.frame)
##  $ LUNG_CANCER          : chr [1:309] "YES" "YES" "NO" "NO" ...
##  $ GENDER               : num [1:309] 1 1 2 1 2 2 1 2 2 1 ...
##  $ AGE                  : num [1:309] 69 74 59 63 63 75 52 51 68 53 ...
##  $ SMOKING              : num [1:309] 1 2 1 2 1 1 2 2 2 2 ...
##  $ YELLOW_FINGERS       : num [1:309] 2 1 1 2 2 2 1 2 1 2 ...
##  $ ANXIETY              : num [1:309] 2 1 1 2 1 1 1 2 2 2 ...
##  $ PEER_PRESSURE        : num [1:309] 1 1 2 1 1 1 1 2 1 2 ...
##  $ CHRONIC DISEASE      : num [1:309] 1 2 1 1 1 2 1 1 1 2 ...
##  $ FATIGUE              : num [1:309] 2 2 2 1 1 2 2 2 2 1 ...
##  $ ALLERGY              : num [1:309] 1 2 1 1 1 2 1 2 1 2 ...
##  $ WHEEZING             : num [1:309] 2 1 2 1 2 2 2 1 1 1 ...
##  $ ALCOHOL_CONSUMING    : num [1:309] 2 1 1 2 1 1 2 1 1 2 ...
##  $ COUGHING             : num [1:309] 2 1 2 1 2 2 2 1 1 1 ...
##  $ SHORTNESS OF BREATH  : num [1:309] 2 2 2 1 2 2 2 2 1 1 ...
##  $ SWALLOWING DIFFICULTY: num [1:309] 2 2 1 2 1 1 1 2 1 2 ...
##  $ CHEST PAIN           : num [1:309] 2 2 2 2 1 1 2 1 1 2 ...
##  $ WEIGHT               : num [1:309] 113 136 153 142 144 ...
##  $ HEIGHT_INCH          : num [1:309] 65.8 71.5 69.4 68.2 67.8 ...
##  - attr(*, "spec")=
##   .. cols(
##   ..   LUNG_CANCER = col_character(),
##   ..   GENDER = col_double(),
##   ..   AGE = col_double(),
##   ..   SMOKING = col_double(),
##   ..   YELLOW_FINGERS = col_double(),
##   ..   ANXIETY = col_double(),
##   ..   PEER_PRESSURE = col_double(),
##   ..   `CHRONIC DISEASE` = col_double(),
##   ..   FATIGUE = col_double(),
##   ..   ALLERGY = col_double(),
##   ..   WHEEZING = col_double(),
##   ..   ALCOHOL_CONSUMING = col_double(),
##   ..   COUGHING = col_double(),
##   ..   `SHORTNESS OF BREATH` = col_double(),
##   ..   `SWALLOWING DIFFICULTY` = col_double(),
##   ..   `CHEST PAIN` = col_double(),
##   ..   WEIGHT = col_double(),
##   ..   HEIGHT_INCH = col_double()
##   .. )
##  - attr(*, "problems")=<externalptr>
attach(cancer)

# Checking if there are null values in the dataset
any(is.na(cancer))
## [1] FALSE
# Splitting data depending on the people diagnosed with lung cancer and Not diagnosed with lung cancer
split_list = split(cancer, f = factor(cancer$LUNG_CANCER))
No_Cancer = split_list[[1]]
Yes_Cancer = split_list[[2]]

# Dropping the first column
NCan = No_Cancer[,-1]
YCan=Yes_Cancer[,-1]

# Calculating the Mean of each column for People diagnosed with and without lung cancer
colMeans(NCan)
##                GENDER                   AGE               SMOKING 
##              1.564103             60.743590              1.487179 
##        YELLOW_FINGERS               ANXIETY         PEER_PRESSURE 
##              1.333333              1.307692              1.256410 
##       CHRONIC DISEASE               FATIGUE               ALLERGY 
##              1.358974              1.487179              1.128205 
##              WHEEZING     ALCOHOL_CONSUMING              COUGHING 
##              1.230769              1.179487              1.256410 
##   SHORTNESS OF BREATH SWALLOWING DIFFICULTY            CHEST PAIN 
##              1.564103              1.128205              1.307692 
##                WEIGHT           HEIGHT_INCH 
##            126.022413             67.840905
colMeans(YCan)
##                GENDER                   AGE               SMOKING 
##              1.462963             62.951852              1.574074 
##        YELLOW_FINGERS               ANXIETY         PEER_PRESSURE 
##              1.603704              1.525926              1.537037 
##       CHRONIC DISEASE               FATIGUE               ALLERGY 
##              1.525926              1.700000              1.618519 
##              WHEEZING     ALCOHOL_CONSUMING              COUGHING 
##              1.603704              1.611111              1.625926 
##   SHORTNESS OF BREATH SWALLOWING DIFFICULTY            CHEST PAIN 
##              1.651852              1.518519              1.592593 
##                WEIGHT           HEIGHT_INCH 
##            126.838366             67.948575
# Calculating the Covariance of each column for People diagnosed with and without lung cancer
NC_cov = cov(NCan, y=NULL, method = "pearson")
NC_cov
##                            GENDER         AGE       SMOKING YELLOW_FINGERS
## GENDER                 0.25236167  0.04318489 -0.0188933873  -8.771930e-03
## AGE                    0.04318489 92.72199730 -0.4770580297  -1.017544e+00
## SMOKING               -0.01889339 -0.47705803  0.2564102564  -8.771930e-03
## YELLOW_FINGERS        -0.00877193 -1.01754386 -0.0087719298   2.280702e-01
## ANXIETY               -0.07287449 -0.20850202 -0.0222672065   5.263158e-02
## PEER_PRESSURE         -0.06950067  0.56747638 -0.0229419703  -3.508772e-02
## CHRONIC DISEASE        0.05533063 -0.19500675 -0.0479082321  -7.017544e-02
## FATIGUE                0.08636977  0.23346829 -0.0067476383  -1.403509e-01
## ALLERGY               -0.02159244 -0.93994602  0.0674763833  -4.385965e-02
## WHEEZING              -0.02834008  0.37651822 -0.0627530364  -2.496518e-21
## ALCOHOL_CONSUMING     -0.10391363  0.38933873 -0.0107962213  -8.771930e-03
## COUGHING              -0.01686910  0.48852901 -0.0492577598   4.385965e-02
## SHORTNESS OF BREATH    0.09446694 -0.06207827 -0.0452091768  -6.140351e-02
## SWALLOWING DIFFICULTY -0.04790823 -0.62415655 -0.0114709852   6.140351e-02
## CHEST PAIN            -0.12550607 -0.34008097  0.0303643725   2.631579e-02
## WEIGHT                -0.11867047  8.60870607 -1.8616220648   8.314850e-01
## HEIGHT_INCH           -0.08300706 -0.56136069  0.0008346761   2.831242e-01
##                            ANXIETY PEER_PRESSURE CHRONIC DISEASE      FATIGUE
## GENDER                -0.072874494  -0.069500675     0.055330634  0.086369771
## AGE                   -0.208502024   0.567476383    -0.195006748  0.233468286
## SMOKING               -0.022267206  -0.022941970    -0.047908232 -0.006747638
## YELLOW_FINGERS         0.052631579  -0.035087719    -0.070175439 -0.140350877
## ANXIETY                0.218623482  -0.002024291    -0.034412955 -0.074898785
## PEER_PRESSURE         -0.002024291   0.195681511     0.010796221 -0.049257760
## CHRONIC DISEASE       -0.034412955   0.010796221     0.236167341  0.031039136
## FATIGUE               -0.074898785  -0.049257760     0.031039136  0.256410256
## ALLERGY               -0.040485830  -0.033738192     0.005398111  0.014844804
## WHEEZING              -0.072874494   0.018218623    -0.058704453 -0.010121457
## ALCOHOL_CONSUMING      0.048582996   0.031713900     0.012820513 -0.063427800
## COUGHING              -0.028340081   0.011470985    -0.094466937 -0.049257760
## SHORTNESS OF BREATH   -0.151821862  -0.043184885     0.029014845  0.139001350
## SWALLOWING DIFFICULTY  0.064777328  -0.033738192    -0.020917679 -0.064102564
## CHEST PAIN            -0.018218623   0.050607287    -0.087044534 -0.048582996
## WEIGHT                -0.377730445   1.331191296     1.293040182 -1.013774696
## HEIGHT_INCH           -0.037506700   0.086397794    -0.052091721 -0.239720061
##                            ALLERGY      WHEEZING ALCOHOL_CONSUMING     COUGHING
## GENDER                -0.021592443 -2.834008e-02      -0.103913630 -0.016869096
## AGE                   -0.939946019  3.765182e-01       0.389338731  0.488529015
## SMOKING                0.067476383 -6.275304e-02      -0.010796221 -0.049257760
## YELLOW_FINGERS        -0.043859649 -2.496518e-21      -0.008771930  0.043859649
## ANXIETY               -0.040485830 -7.287449e-02       0.048582996 -0.028340081
## PEER_PRESSURE         -0.033738192  1.821862e-02       0.031713900  0.011470985
## CHRONIC DISEASE        0.005398111 -5.870445e-02       0.012820513 -0.094466937
## FATIGUE                0.014844804 -1.012146e-02      -0.063427800 -0.049257760
## ALLERGY                0.114709852  2.226721e-02       0.029014845  0.018893387
## WHEEZING               0.022267206  1.821862e-01       0.036437247  0.123481781
## ALCOHOL_CONSUMING      0.029014845  3.643725e-02       0.151147099  0.031713900
## COUGHING               0.018893387  1.234818e-01       0.031713900  0.195681511
## SHORTNESS OF BREATH    0.004723347  5.060729e-02      -0.077597841  0.009446694
## SWALLOWING DIFFICULTY -0.016869096 -4.048583e-03       0.002699055 -0.033738192
## CHEST PAIN             0.038461538  5.870445e-02       0.022267206  0.024291498
## WEIGHT                -1.441954089 -7.620952e-01      -0.742439251  0.361533401
## HEIGHT_INCH           -0.063099656 -5.507328e-03      -0.131474413  0.003802530
##                       SHORTNESS OF BREATH SWALLOWING DIFFICULTY  CHEST PAIN
## GENDER                        0.094466937          -0.047908232 -0.12550607
## AGE                          -0.062078273          -0.624156545 -0.34008097
## SMOKING                      -0.045209177          -0.011470985  0.03036437
## YELLOW_FINGERS               -0.061403509           0.061403509  0.02631579
## ANXIETY                      -0.151821862           0.064777328 -0.01821862
## PEER_PRESSURE                -0.043184885          -0.033738192  0.05060729
## CHRONIC DISEASE               0.029014845          -0.020917679 -0.08704453
## FATIGUE                       0.139001350          -0.064102564 -0.04858300
## ALLERGY                       0.004723347          -0.016869096  0.03846154
## WHEEZING                      0.050607287          -0.004048583  0.05870445
## ALCOHOL_CONSUMING            -0.077597841           0.002699055  0.02226721
## COUGHING                      0.009446694          -0.033738192  0.02429150
## SHORTNESS OF BREATH           0.252361673          -0.021592443 -0.07287449
## SWALLOWING DIFFICULTY        -0.021592443           0.114709852  0.03846154
## CHEST PAIN                   -0.072874494           0.038461538  0.21862348
## WEIGHT                        0.234321640           0.642771964  1.25047219
## HEIGHT_INCH                  -0.119816802           0.101810607  0.29252462
##                            WEIGHT   HEIGHT_INCH
## GENDER                 -0.1186705 -0.0830070648
## AGE                     8.6087061 -0.5613606883
## SMOKING                -1.8616221  0.0008346761
## YELLOW_FINGERS          0.8314850  0.2831242105
## ANXIETY                -0.3777304 -0.0375067004
## PEER_PRESSURE           1.3311913  0.0863977935
## CHRONIC DISEASE         1.2930402 -0.0520917206
## FATIGUE                -1.0137747 -0.2397200607
## ALLERGY                -1.4419541 -0.0630996559
## WHEEZING               -0.7620952 -0.0055073279
## ALCOHOL_CONSUMING      -0.7424393 -0.1314744130
## COUGHING                0.3615334  0.0038025304
## SHORTNESS OF BREATH     0.2343216 -0.1198168016
## SWALLOWING DIFFICULTY   0.6427720  0.1018106073
## CHEST PAIN              1.2504722  0.2925246154
## WEIGHT                241.1258039 14.4006850789
## HEIGHT_INCH            14.4006851  3.9074716169
YC_cov = cov(YCan, y=NULL, method = "pearson")
YC_cov
##                             GENDER         AGE      SMOKING YELLOW_FINGERS
## GENDER                 0.249552527 -0.07799807 -0.006539997    0.065193446
## AGE                   -0.077998072 63.46607462 -0.351438799    0.092372298
## SMOKING               -0.006539997 -0.35143880  0.245422002   -0.005851576
## YELLOW_FINGERS         0.065193446  0.09237230 -0.005851576    0.240134930
## ANXIETY                0.056725871  0.21872504  0.046399559    0.146000275
## PEER_PRESSURE          0.092454908 -0.07070081 -0.012047363    0.087222911
## CHRONIC DISEASE        0.053008399 -0.07867272 -0.035384827    0.015888751
## FATIGUE                0.013011152 -0.03680297 -0.009293680   -0.018959108
## ALLERGY               -0.034627564  0.12654550 -0.014387994   -0.051369957
## WHEEZING              -0.031460829  0.09980724 -0.031873881   -0.034958006
## ALCOHOL_CONSUMING     -0.109252375  0.10016522 -0.017554729   -0.095208591
## COUGHING              -0.030634724  0.61760980 -0.033526091   -0.022401212
## SHORTNESS OF BREATH    0.005645050 -0.09489192  0.022167149   -0.023241085
## SWALLOWING DIFFICULTY  0.034145670 -0.02698609  0.006058103    0.076139336
## CHEST PAIN            -0.082059755 -0.11634311  0.026573041   -0.043095140
## WEIGHT                -0.047533189 -4.65109152 -0.803828195   -0.140955443
## HEIGHT_INCH            0.077151769 -1.12060563 -0.086951251    0.072994955
##                            ANXIETY PEER_PRESSURE CHRONIC DISEASE      FATIGUE
## GENDER                 0.056725871   0.092454908     0.053008399  0.013011152
## AGE                    0.218725045  -0.070700812    -0.078672725 -0.036802974
## SMOKING                0.046399559  -0.012047363    -0.035384827 -0.009293680
## YELLOW_FINGERS         0.146000275   0.087222911     0.015888751 -0.018959108
## ANXIETY                0.250254716   0.054798293    -0.002533388 -0.046096654
## PEER_PRESSURE          0.054798293   0.249552527     0.006471155  0.020446097
## CHRONIC DISEASE       -0.002533388   0.006471155     0.250254716 -0.038661710
## FATIGUE               -0.046096654   0.020446097    -0.038661710  0.210780669
## ALLERGY               -0.055128735  -0.036004406     0.019220708 -0.014498141
## WHEEZING              -0.054743219  -0.035453669    -0.013851026  0.029368030
## ALCOHOL_CONSUMING     -0.066088393  -0.065468815    -0.010326311 -0.053903346
## COUGHING              -0.070191381  -0.039997246    -0.044169076  0.036059480
## SHORTNESS OF BREATH   -0.020680160  -0.057689660    -0.013245215  0.092193309
## SWALLOWING DIFFICULTY  0.120335949   0.095965854     0.016246730 -0.037174721
## CHEST PAIN            -0.037725458  -0.044334297    -0.004268209 -0.003717472
## WEIGHT                -0.312690050   0.264830587     0.215515340  0.078117227
## HEIGHT_INCH            0.025450407   0.062675778     0.050430370  0.089662011
##                           ALLERGY      WHEEZING ALCOHOL_CONSUMING     COUGHING
## GENDER                -0.03462756 -0.0314608289      -0.109252375 -0.030634724
## AGE                    0.12654550  0.0998072422       0.100165221  0.617609803
## SMOKING               -0.01438799 -0.0318738813      -0.017554729 -0.033526091
## YELLOW_FINGERS        -0.05136996 -0.0349580063      -0.095208591 -0.022401212
## ANXIETY               -0.05512873 -0.0547432191      -0.066088393 -0.070191381
## PEER_PRESSURE         -0.03600441 -0.0354536693      -0.065468815 -0.039997246
## CHRONIC DISEASE        0.01922071 -0.0138510257      -0.010326311 -0.044169076
## FATIGUE               -0.01449814  0.0293680297      -0.053903346  0.036059480
## ALLERGY                0.23683051  0.0229794851       0.066707972  0.027770894
## WHEEZING               0.02297949  0.2401349305       0.049772821  0.070535591
## ALCOHOL_CONSUMING      0.06670797  0.0497728211       0.238537794  0.032424618
## COUGHING               0.02777089  0.0705355914       0.032424618  0.235013080
## SHORTNESS OF BREATH   -0.01434669 -0.0009362522      -0.042957456  0.070026160
## SWALLOWING DIFFICULTY -0.03937767  0.0017898940      -0.024370095 -0.058102712
## CHEST PAIN             0.04474735  0.0201018863       0.075175547  0.006884208
## WEIGHT                 0.68835610  0.3666331070      -0.071185861 -0.137099969
## HEIGHT_INCH            0.06298473  0.0115764421      -0.004233707 -0.028255232
##                       SHORTNESS OF BREATH SWALLOWING DIFFICULTY    CHEST PAIN
## GENDER                       0.0056450503          0.0341456698 -0.0820597549
## AGE                         -0.0948919179         -0.0269860939 -0.1163431089
## SMOKING                      0.0221671486          0.0060581027  0.0265730414
## YELLOW_FINGERS              -0.0232410850          0.0761393364 -0.0430951397
## ANXIETY                     -0.0206801597          0.1203359493 -0.0377254578
## PEER_PRESSURE               -0.0576896599          0.0959658543 -0.0443342971
## CHRONIC DISEASE             -0.0132452155          0.0162467300 -0.0042682087
## FATIGUE                      0.0921933086         -0.0371747212 -0.0037174721
## ALLERGY                     -0.0143466887         -0.0393776676  0.0447473496
## WHEEZING                    -0.0009362522          0.0017898940  0.0201018863
## ALCOHOL_CONSUMING           -0.0429574556         -0.0243700950  0.0751755473
## COUGHING                     0.0700261600         -0.0581027124  0.0068842076
## SHORTNESS OF BREATH          0.2277846620         -0.0455734545  0.0137684153
## SWALLOWING DIFFICULTY       -0.0455734545          0.2505851576  0.0001376842
## CHEST PAIN                   0.0137684153          0.0001376842  0.2423241085
## WEIGHT                       0.0346854829          0.2201749401  0.2258873028
## HEIGHT_INCH                 -0.0338105689          0.0828150916  0.0639443426
##                             WEIGHT  HEIGHT_INCH
## GENDER                 -0.04753319  0.077151769
## AGE                    -4.65109152 -1.120605628
## SMOKING                -0.80382819 -0.086951251
## YELLOW_FINGERS         -0.14095544  0.072994955
## ANXIETY                -0.31269005  0.025450407
## PEER_PRESSURE           0.26483059  0.062675778
## CHRONIC DISEASE         0.21551534  0.050430370
## FATIGUE                 0.07811723  0.089662011
## ALLERGY                 0.68835610  0.062984731
## WHEEZING                0.36663311  0.011576442
## ALCOHOL_CONSUMING      -0.07118586 -0.004233707
## COUGHING               -0.13709997 -0.028255232
## SHORTNESS OF BREATH     0.03468548 -0.033810569
## SWALLOWING DIFFICULTY   0.22017494  0.082815092
## CHEST PAIN              0.22588730  0.063944343
## WEIGHT                132.52068523 11.065946698
## HEIGHT_INCH            11.06594670  3.699899104
# Calculating the Correlation of each column for People diagnosed with and without lung cancer
NC_corr = cor(NCan, y=NULL,  method = "pearson")
NC_corr
##                             GENDER          AGE       SMOKING YELLOW_FINGERS
## GENDER                 1.000000000  0.008927476 -0.0742729086  -3.656362e-02
## AGE                    0.008927476  1.000000000 -0.0978390269  -2.212725e-01
## SMOKING               -0.074272909 -0.097839027  1.0000000000  -3.627381e-02
## YELLOW_FINGERS        -0.036563621 -0.221272529 -0.0362738125   1.000000e+00
## ANXIETY               -0.310252614 -0.046309542 -0.0940480156   2.357023e-01
## PEER_PRESSURE         -0.312753677  0.133223705 -0.1024207896  -1.660910e-01
## CHRONIC DISEASE        0.226643897 -0.041672382 -0.1946850165  -3.023716e-01
## FATIGUE                0.339533297  0.047881617 -0.0263157895  -5.803810e-01
## ALLERGY               -0.126908209 -0.288211407  0.3934447377  -2.711631e-01
## WHEEZING              -0.132169610  0.091608722 -0.2903416016  -1.224737e-20
## ALCOHOL_CONSUMING     -0.532060368  0.104000712 -0.0548408497  -4.724556e-02
## COUGHING              -0.075911087  0.114689610 -0.2199034601   2.076137e-01
## SHORTNESS OF BREATH    0.374331551 -0.012833246 -0.1777244600  -2.559453e-01
## SWALLOWING DIFFICULTY -0.281577590 -0.191382305 -0.0668856054   3.796283e-01
## CHEST PAIN            -0.534323946 -0.075534010  0.1282472940   1.178511e-01
## WEIGHT                -0.015212798  0.057573767 -0.2367565359   1.121239e-01
## HEIGHT_INCH           -0.083590215 -0.029491896  0.0008338777   2.999127e-01
##                            ANXIETY PEER_PRESSURE CHRONIC DISEASE     FATIGUE
## GENDER                -0.310252614  -0.312753677      0.22664390  0.33953330
## AGE                   -0.046309542   0.133223705     -0.04167238  0.04788162
## SMOKING               -0.094048016  -0.102420790     -0.19468502 -0.02631579
## YELLOW_FINGERS         0.235702260  -0.166090960     -0.30237158 -0.58038100
## ANXIETY                1.000000000  -0.009787004     -0.15144804 -0.31634333
## PEER_PRESSURE         -0.009787004   1.000000000      0.05022119 -0.21990346
## CHRONIC DISEASE       -0.151448037   0.050221186      1.00000000  0.12613395
## FATIGUE               -0.316343325  -0.219903460      0.12613395  1.00000000
## ALLERGY               -0.255654996  -0.225188675      0.03279680  0.08655784
## WHEEZING              -0.365148372   0.096490128     -0.28301102 -0.04682929
## ALCOHOL_CONSUMING      0.267261242   0.184405916      0.06785714 -0.32218999
## COUGHING              -0.137018051   0.058620690     -0.43943537 -0.21990346
## SHORTNESS OF BREATH   -0.646359612  -0.194332382      0.11884985  0.54643640
## SWALLOWING DIFFICULTY  0.409047994  -0.225188675     -0.12708761 -0.37377250
## CHEST PAIN            -0.083333333   0.244675091     -0.38307445 -0.20519567
## WEIGHT                -0.052024959   0.193795518      0.17134848 -0.12892938
## HEIGHT_INCH           -0.040580046   0.098805208     -0.05422641 -0.23949076
##                           ALLERGY      WHEEZING ALCOHOL_CONSUMING     COUGHING
## GENDER                -0.12690821 -1.321696e-01       -0.53206037 -0.075911087
## AGE                   -0.28821141  9.160872e-02        0.10400071  0.114689610
## SMOKING                0.39344474 -2.903416e-01       -0.05484085 -0.219903460
## YELLOW_FINGERS        -0.27116307 -1.224737e-20       -0.04724556  0.207613700
## ANXIETY               -0.25565500 -3.651484e-01        0.26726124 -0.137018051
## PEER_PRESSURE         -0.22518867  9.649013e-02        0.18440592  0.058620690
## CHRONIC DISEASE        0.03279680 -2.830110e-01        0.06785714 -0.439435374
## FATIGUE                0.08655784 -4.682929e-02       -0.32218999 -0.219903460
## ALLERGY                1.00000000  1.540308e-01        0.22035352  0.126105658
## WHEEZING               0.15403081  1.000000e+00        0.21957752  0.653988646
## ALCOHOL_CONSUMING      0.22035352  2.195775e-01        1.00000000  0.184405916
## COUGHING               0.12610566  6.539886e-01        0.18440592  1.000000000
## SHORTNESS OF BREATH    0.02776117  2.360172e-01       -0.39731781  0.042510209
## SWALLOWING DIFFICULTY -0.14705882 -2.800560e-02        0.02049800 -0.225188675
## CHEST PAIN             0.24287225  2.941473e-01        0.12249474  0.117444044
## WEIGHT                -0.27417587 -1.149819e-01       -0.12298133  0.052632220
## HEIGHT_INCH           -0.09424943 -6.527325e-03       -0.17107771  0.004348604
##                       SHORTNESS OF BREATH SWALLOWING DIFFICULTY  CHEST PAIN
## GENDER                         0.37433155           -0.28157759 -0.53432395
## AGE                           -0.01283325           -0.19138231 -0.07553401
## SMOKING                       -0.17772446           -0.06688561  0.12824729
## YELLOW_FINGERS                -0.25594535            0.37962830  0.11785113
## ANXIETY                       -0.64635961            0.40904799 -0.08333333
## PEER_PRESSURE                 -0.19433238           -0.22518867  0.24467509
## CHRONIC DISEASE                0.11884985           -0.12708761 -0.38307445
## FATIGUE                        0.54643640           -0.37377250 -0.20519567
## ALLERGY                        0.02776117           -0.14705882  0.24287225
## WHEEZING                       0.23601716           -0.02800560  0.29414730
## ALCOHOL_CONSUMING             -0.39731781            0.02049800  0.12249474
## COUGHING                       0.04251021           -0.22518867  0.11744404
## SHORTNESS OF BREATH            1.00000000           -0.12690821 -0.31025261
## SWALLOWING DIFFICULTY         -0.12690821            1.00000000  0.24287225
## CHEST PAIN                    -0.31025261            0.24287225  1.00000000
## WEIGHT                         0.03003854            0.12221787  0.17222801
## HEIGHT_INCH                   -0.12065855            0.15207042  0.31649445
##                            WEIGHT   HEIGHT_INCH
## GENDER                -0.01521280 -0.0835902149
## AGE                    0.05757377 -0.0294918958
## SMOKING               -0.23675654  0.0008338777
## YELLOW_FINGERS         0.11212393  0.2999126913
## ANXIETY               -0.05202496 -0.0405800465
## PEER_PRESSURE          0.19379552  0.0988052083
## CHRONIC DISEASE        0.17134848 -0.0542264116
## FATIGUE               -0.12892938 -0.2394907624
## ALLERGY               -0.27417587 -0.0942494264
## WHEEZING              -0.11498193 -0.0065273251
## ALCOHOL_CONSUMING     -0.12298133 -0.1710777055
## COUGHING               0.05263222  0.0043486042
## SHORTNESS OF BREATH    0.03003854 -0.1206585514
## SWALLOWING DIFFICULTY  0.12221787  0.1520704227
## CHEST PAIN             0.17222801  0.3164944493
## WEIGHT                 1.00000000  0.4691518064
## HEIGHT_INCH            0.46915181  1.0000000000
YC_corr = cor(YCan, y=NULL,  method = "pearson")
YC_corr
##                             GENDER          AGE     SMOKING YELLOW_FINGERS
## GENDER                 1.000000000 -0.019598917 -0.02642651     0.26631479
## AGE                   -0.019598917  1.000000000 -0.08904758     0.02366155
## SMOKING               -0.026426511 -0.089047584  1.00000000    -0.02410396
## YELLOW_FINGERS         0.266314789  0.023661554 -0.02410396     1.00000000
## ANXIETY                0.226991216  0.054882838  0.18722592     0.59557282
## PEER_PRESSURE          0.370482759 -0.017765302 -0.04868042     0.35630500
## CHRONIC DISEASE        0.212115578 -0.019740686 -0.14278060     0.06481432
## FATIGUE                0.056730863 -0.010062287 -0.04086162    -0.08427036
## ALLERGY               -0.142436776  0.032640521 -0.05967943    -0.21540844
## WHEEZING              -0.128517274  0.025566046 -0.13129571    -0.14557652
## ALCOHOL_CONSUMING     -0.447786815  0.025743497 -0.07255357    -0.39780467
## COUGHING              -0.126498964  0.159917998 -0.13959831    -0.09429699
## SHORTNESS OF BREATH    0.023676886 -0.024957218  0.09375422    -0.09937256
## SWALLOWING DIFFICULTY  0.136545370 -0.006766928  0.02442880     0.31038716
## CHEST PAIN            -0.333695937 -0.029666857  0.10896479    -0.17864971
## WEIGHT                -0.008265595 -0.050715677 -0.14094986    -0.02498690
## HEIGHT_INCH            0.080291572 -0.073128563 -0.09124817     0.07744087
##                           ANXIETY PEER_PRESSURE CHRONIC DISEASE     FATIGUE
## GENDER                 0.22699122    0.37048276      0.21211558  0.05673086
## AGE                    0.05488284   -0.01776530     -0.01974069 -0.01006229
## SMOKING                0.18722592   -0.04868042     -0.14278060 -0.04086162
## YELLOW_FINGERS         0.59557282    0.35630500      0.06481432 -0.08427036
## ANXIETY                1.00000000    0.21927792     -0.01012324 -0.20070717
## PEER_PRESSURE          0.21927792    1.00000000      0.02589463  0.08914850
## CHRONIC DISEASE       -0.01012324    0.02589463      1.00000000 -0.16833504
## FATIGUE               -0.20070717    0.08914850     -0.16833504  1.00000000
## ALLERGY               -0.22644778   -0.14810027      0.07895132 -0.06489005
## WHEEZING              -0.22331173   -0.14482800     -0.05650191  0.13053644
## ALCOHOL_CONSUMING     -0.27049264   -0.26833350     -0.04226448 -0.24039295
## COUGHING              -0.28943206   -0.16515932     -0.18212986  0.16201605
## SHORTNESS OF BREATH   -0.08661648   -0.24196623     -0.05547607  0.42074772
## SWALLOWING DIFFICULTY  0.48053672    0.38375856      0.06487796 -0.16175386
## CHEST PAIN            -0.15319517   -0.18028539     -0.01733230 -0.01644879
## WEIGHT                -0.05429766    0.04605166      0.03742357  0.01478052
## HEIGHT_INCH            0.02644896    0.06522646      0.05240902  0.10153088
##                           ALLERGY     WHEEZING ALCOHOL_CONSUMING    COUGHING
## GENDER                -0.14243678 -0.128517274      -0.447786815 -0.12649896
## AGE                    0.03264052  0.025566046       0.025743497  0.15991800
## SMOKING               -0.05967943 -0.131295710      -0.072553571 -0.13959831
## YELLOW_FINGERS        -0.21540844 -0.145576515      -0.397804665 -0.09429699
## ANXIETY               -0.22644778 -0.223311726      -0.270492644 -0.28943206
## PEER_PRESSURE         -0.14810027 -0.144828000      -0.268333498 -0.16515932
## CHRONIC DISEASE        0.07895132 -0.056501910      -0.042264476 -0.18212986
## FATIGUE               -0.06489005  0.130536437      -0.240392953  0.16201605
## ALLERGY                1.00000000  0.096359336       0.280659865  0.11771316
## WHEEZING               0.09635934  1.000000000       0.207962959  0.29691670
## ALCOHOL_CONSUMING      0.28065986  0.207962959       1.000000000  0.13694628
## COUGHING               0.11771316  0.296916700       0.136946283  1.00000000
## SHORTNESS OF BREATH   -0.06176901 -0.004003160      -0.184288278  0.30265793
## SWALLOWING DIFFICULTY -0.16164173  0.007296624      -0.099678375 -0.23942678
## CHEST PAIN             0.18678852  0.083331813       0.312679700  0.02884760
## WEIGHT                 0.12287188  0.064992340      -0.012661154 -0.02456685
## HEIGHT_INCH            0.06728550  0.012281531      -0.004506582 -0.03030107
##                       SHORTNESS OF BREATH SWALLOWING DIFFICULTY    CHEST PAIN
## GENDER                        0.023676886          0.1365453702 -0.3336959365
## AGE                          -0.024957218         -0.0067669277 -0.0296668567
## SMOKING                       0.093754225          0.0244288045  0.1089647949
## YELLOW_FINGERS               -0.099372563          0.3103871593 -0.1786497088
## ANXIETY                      -0.086616477          0.4805367221 -0.1531951696
## PEER_PRESSURE                -0.241966228          0.3837585606 -0.1802853885
## CHRONIC DISEASE              -0.055476066          0.0648779556 -0.0173323002
## FATIGUE                       0.420747721         -0.1617538620 -0.0164487924
## ALLERGY                      -0.061769006         -0.1616417305  0.1867885192
## WHEEZING                     -0.004003160          0.0072966240  0.0833318130
## ALCOHOL_CONSUMING            -0.184288278         -0.0996783753  0.3126797004
## COUGHING                      0.302657929         -0.2394267761  0.0288475963
## SHORTNESS OF BREATH           1.000000000         -0.1907532908  0.0586034799
## SWALLOWING DIFFICULTY        -0.190753291          1.0000000000  0.0005587377
## CHEST PAIN                    0.058603480          0.0005587377  1.0000000000
## WEIGHT                        0.006313115          0.0382074786  0.0398613196
## HEIGHT_INCH                  -0.036829456          0.0860076089  0.0675318853
##                             WEIGHT  HEIGHT_INCH
## GENDER                -0.008265595  0.080291572
## AGE                   -0.050715677 -0.073128563
## SMOKING               -0.140949861 -0.091248166
## YELLOW_FINGERS        -0.024986898  0.077440872
## ANXIETY               -0.054297657  0.026448963
## PEER_PRESSURE          0.046051663  0.065226460
## CHRONIC DISEASE        0.037423570  0.052409025
## FATIGUE                0.014780516  0.101530879
## ALLERGY                0.122871880  0.067285504
## WHEEZING               0.064992340  0.012281531
## ALCOHOL_CONSUMING     -0.012661154 -0.004506582
## COUGHING              -0.024566852 -0.030301067
## SHORTNESS OF BREATH    0.006313115 -0.036829456
## SWALLOWING DIFFICULTY  0.038207479  0.086007609
## CHEST PAIN             0.039861320  0.067531885
## WEIGHT                 1.000000000  0.499748843
## HEIGHT_INCH            0.499748843  1.000000000
# Plotting a matrix for Correlation for People diagnosed with and without lung cancer
library(ggcorrplot)
## Loading required package: ggplot2
ggcorrplot(NC_corr, lab = TRUE)

ggcorrplot(YC_corr, lab = TRUE)

#Boxplot
ggplot(cancer,aes(y=AGE, fill=LUNG_CANCER))+geom_boxplot()+ labs(title='Comparison between age of people')

#Load packages
library(lattice)
library(ggplot2)
library(ggridges)
library(ggvis)
## 
## Attaching package: 'ggvis'
## 
## The following object is masked from 'package:ggplot2':
## 
##     resolution
library(ggthemes)
library(cowplot)
## 
## Attaching package: 'cowplot'
## 
## The following object is masked from 'package:ggthemes':
## 
##     theme_map
library(gapminder)
library(gganimate)
## No renderer backend detected. gganimate will default to writing frames to separate files
## Consider installing:
## - the `gifski` package for gif output
## - the `av` package for video output
## and restarting the R session
## 
## Attaching package: 'gganimate'
## 
## The following object is masked from 'package:ggvis':
## 
##     view_static
library(dplyr)
## 
## Attaching package: 'dplyr'
## 
## The following objects are masked from 'package:stats':
## 
##     filter, lag
## 
## The following objects are masked from 'package:base':
## 
##     intersect, setdiff, setequal, union
library(tidyverse)
## ── Attaching core tidyverse packages ──────────────────────── tidyverse 2.0.0 ──
## ✔ forcats   1.0.0     ✔ stringr   1.5.0
## ✔ lubridate 1.9.2     ✔ tibble    3.1.8
## ✔ purrr     1.0.1     ✔ tidyr     1.3.0
## ── Conflicts ────────────────────────────────────────── tidyverse_conflicts() ──
## ✖ dplyr::filter()     masks stats::filter()
## ✖ dplyr::lag()        masks stats::lag()
## ✖ ggvis::resolution() masks ggplot2::resolution()
## ✖ lubridate::stamp()  masks cowplot::stamp()
## ℹ Use the ]8;;http://conflicted.r-lib.org/conflicted package]8;; to force all conflicts to become errors
library(grid)
library(gridExtra)
## 
## Attaching package: 'gridExtra'
## 
## The following object is masked from 'package:dplyr':
## 
##     combine
library(RColorBrewer)

# GGplot
ggplot(cancer, aes(x=WEIGHT,y=AGE)) + geom_point()

ggplot(cancer, aes(x=WEIGHT,y=HEIGHT_INCH)) + facet_wrap(~LUNG_CANCER) + geom_point()

ggplot(cancer, aes(x=HEIGHT_INCH, y=AGE)) +geom_point(aes(color=PEER_PRESSURE))

ggplot(cancer, aes(x=HEIGHT_INCH,y=AGE)) + xlim(50,80) + geom_point(colour="steelblue", pch=3) + 
  labs(x="HEIGHT IN INCHES", y="AGE", title="LUNG CANCER Data") 

#Histogram
ggplot(cancer, aes(AGE))+geom_histogram(bins=10)

ggplot(cancer, aes(AGE))+geom_histogram(aes(fill = after_stat(count)))
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

#Regression
ggplot(cancer, aes(x=WEIGHT, y=AGE)) + geom_point() + geom_smooth(method=lm)
## `geom_smooth()` using formula = 'y ~ x'

ggplot(cancer, aes(x=HEIGHT_INCH, y=AGE)) + geom_point() + stat_smooth()
## `geom_smooth()` using method = 'loess' and formula = 'y ~ x'

#Violin Plot
ggplot(cancer, aes(x=LUNG_CANCER, y=AGE)) + geom_violin()

ggplot(cancer, aes(x=LUNG_CANCER, y=WEIGHT)) + geom_violin()

ggplot(cancer, aes(x=LUNG_CANCER, y=HEIGHT_INCH)) + geom_violin()

#Boxplot
ggplot(cancer, aes(x=LUNG_CANCER, y=WEIGHT)) + geom_boxplot()

ggplot(cancer, aes(x=LUNG_CANCER, y=WEIGHT)) + geom_boxplot() + coord_flip()

#Density Plot and ggridges
ggplot(cancer, aes(x=AGE)) + geom_density() 

ggplot(cancer, aes(x=AGE, fill=LUNG_CANCER, color=LUNG_CANCER)) + geom_density() 

ggplot(cancer, aes(x=AGE, fill=LUNG_CANCER, color=LUNG_CANCER)) + geom_density(alpha=0.3, aes(y=..scaled..)) 
## Warning: The dot-dot notation (`..scaled..`) was deprecated in ggplot2 3.4.0.
## ℹ Please use `after_stat(scaled)` instead.

ggplot(cancer, aes(x=AGE, y=LUNG_CANCER)) + geom_density_ridges() 
## Picking joint bandwidth of 2.54

ggplot(cancer, aes(x=WEIGHT)) + geom_density() 

ggplot(cancer, aes(x=WEIGHT, y=LUNG_CANCER)) + geom_density_ridges() 
## Picking joint bandwidth of 4.89

#Hexbin
ggplot(cancer, aes(x=HEIGHT_INCH, y=AGE)) + geom_hex()
## Warning: Computation failed in `stat_binhex()`
## Caused by error in `compute_group()`:
## ! The package `hexbin` is required for `stat_binhex()`

#GGthemes
# with ggthemes (see also ggsci, ggthemr)           
lastplot <- ggplot(cancer, aes(x=WEIGHT,y=AGE)) + xlim(100,140) + geom_point(aes(color=LUNG_CANCER)) + stat_smooth() + 
  labs(x="WEIGHT", y="AGE", title="LUNG CANCER DATA") 
lastplot + theme_bw()
## `geom_smooth()` using method = 'loess' and formula = 'y ~ x'
## Warning: Removed 48 rows containing non-finite values (`stat_smooth()`).
## Warning: Removed 48 rows containing missing values (`geom_point()`).

lastplot + theme_cowplot()
## `geom_smooth()` using method = 'loess' and formula = 'y ~ x'
## Warning: Removed 48 rows containing non-finite values (`stat_smooth()`).
## Removed 48 rows containing missing values (`geom_point()`).

lastplot + theme_dark()
## `geom_smooth()` using method = 'loess' and formula = 'y ~ x'
## Warning: Removed 48 rows containing non-finite values (`stat_smooth()`).
## Removed 48 rows containing missing values (`geom_point()`).

lastplot + theme_economist()
## `geom_smooth()` using method = 'loess' and formula = 'y ~ x'
## Warning: Removed 48 rows containing non-finite values (`stat_smooth()`).
## Removed 48 rows containing missing values (`geom_point()`).

lastplot + theme_fivethirtyeight()
## `geom_smooth()` using method = 'loess' and formula = 'y ~ x'
## Warning: Removed 48 rows containing non-finite values (`stat_smooth()`).
## Removed 48 rows containing missing values (`geom_point()`).

lastplot + theme_tufte()
## `geom_smooth()` using method = 'loess' and formula = 'y ~ x'
## Warning: Removed 48 rows containing non-finite values (`stat_smooth()`).
## Removed 48 rows containing missing values (`geom_point()`).

lastplot + theme_wsj()
## `geom_smooth()` using method = 'loess' and formula = 'y ~ x'
## Warning: Removed 48 rows containing non-finite values (`stat_smooth()`).
## Removed 48 rows containing missing values (`geom_point()`).

#Get the Correlations between the measurements
cor(cancer[-1])
##                            GENDER          AGE      SMOKING YELLOW_FINGERS
## GENDER                 1.00000000 -0.021306438 -0.036276853   0.2129594615
## AGE                   -0.02130644  1.000000000 -0.084474561   0.0052048719
## SMOKING               -0.03627685 -0.084474561  1.000000000  -0.0145848660
## YELLOW_FINGERS         0.21295946  0.005204872 -0.014584866   1.0000000000
## ANXIETY                0.15212660  0.053170355  0.160266983   0.5658292926
## PEER_PRESSURE          0.27556432  0.018685137 -0.042822324   0.3230832379
## CHRONIC DISEASE        0.20460564 -0.012642128 -0.141522309   0.0411221768
## FATIGUE                0.08356045  0.012614462 -0.029575460  -0.1180579217
## ALLERGY               -0.15425095  0.027990485  0.001912698  -0.1442995270
## WHEEZING              -0.14120674  0.055011347 -0.129425926  -0.0785152929
## ALCOHOL_CONSUMING     -0.45426780  0.058985003 -0.050622751  -0.2890248419
## COUGHING              -0.13330259  0.169950348 -0.129471065  -0.0126398427
## SHORTNESS OF BREATH    0.06491069 -0.017512737  0.061263759  -0.1059442844
## SWALLOWING DIFFICULTY  0.07816113 -0.001269878  0.030717735   0.3459037723
## CHEST PAIN            -0.36295832 -0.018103926  0.120117461  -0.1048289865
## WEIGHT                -0.01081768 -0.028273444 -0.154135563   0.0006496653
## HEIGHT_INCH            0.05801867 -0.064562763 -0.078120669   0.1066096672
##                            ANXIETY PEER_PRESSURE CHRONIC DISEASE      FATIGUE
## GENDER                 0.152126604    0.27556432     0.204605643  0.083560450
## AGE                    0.053170355    0.01868514    -0.012642128  0.012614462
## SMOKING                0.160266983   -0.04282232    -0.141522309 -0.029575460
## YELLOW_FINGERS         0.565829293    0.32308324     0.041122177 -0.118057922
## ANXIETY                1.000000000    0.21684122    -0.009677825 -0.188538334
## PEER_PRESSURE          0.216841223    1.00000000     0.048514810  0.078148291
## CHRONIC DISEASE       -0.009677825    0.04851481     1.000000000 -0.110528642
## FATIGUE               -0.188538334    0.07814829    -0.110528642  1.000000000
## ALLERGY               -0.165749538   -0.08179957     0.106386061  0.003056272
## WHEEZING              -0.191807339   -0.06877067    -0.049967294  0.141936883
## ALCOHOL_CONSUMING     -0.165749538   -0.15997297     0.002150491 -0.191376583
## COUGHING              -0.225644074   -0.08901867    -0.175286710  0.146856016
## SHORTNESS OF BREATH   -0.144076665   -0.22017534    -0.026458823  0.441744642
## SWALLOWING DIFFICULTY  0.489402762    0.36659037     0.075176421 -0.132790075
## CHEST PAIN            -0.113633937   -0.09482847    -0.036937848 -0.010831789
## WEIGHT                -0.049650071    0.06965455     0.060051327 -0.006639779
## HEIGHT_INCH            0.020927415    0.07121714     0.041034424  0.056616534
##                            ALLERGY    WHEEZING ALCOHOL_CONSUMING     COUGHING
## GENDER                -0.154250955 -0.14120674      -0.454267796 -0.133302586
## AGE                    0.027990485  0.05501135       0.058985003  0.169950348
## SMOKING                0.001912698 -0.12942593      -0.050622751 -0.129471065
## YELLOW_FINGERS        -0.144299527 -0.07851529      -0.289024842 -0.012639843
## ANXIETY               -0.165749538 -0.19180734      -0.165749538 -0.225644074
## PEER_PRESSURE         -0.081799569 -0.06877067      -0.159972971 -0.089018666
## CHRONIC DISEASE        0.106386061 -0.04996729       0.002150491 -0.175286710
## FATIGUE                0.003056272  0.14193688      -0.191376583  0.146856016
## ALLERGY                1.000000000  0.17386692       0.344338822  0.189524168
## WHEEZING               0.173866916  1.00000000       0.265659481  0.374265392
## ALCOHOL_CONSUMING      0.344338822  0.26565948       1.000000000  0.202719970
## COUGHING               0.189524168  0.37426539       0.202719970  1.000000000
## SHORTNESS OF BREATH   -0.030056438  0.03783420      -0.179415842  0.277385025
## SWALLOWING DIFFICULTY -0.061507906  0.06902742      -0.009293777 -0.157586304
## CHEST PAIN             0.239433033  0.14764047       0.331225598  0.083957755
## WEIGHT                 0.077882001  0.04328427      -0.019123443 -0.007002533
## HEIGHT_INCH            0.055331790  0.01446635      -0.015407769 -0.020782350
##                       SHORTNESS OF BREATH SWALLOWING DIFFICULTY  CHEST PAIN
## GENDER                         0.06491069           0.078161133 -0.36295832
## AGE                           -0.01751274          -0.001269878 -0.01810393
## SMOKING                        0.06126376           0.030717735  0.12011746
## YELLOW_FINGERS                -0.10594428           0.345903772 -0.10482899
## ANXIETY                       -0.14407666           0.489402762 -0.11363394
## PEER_PRESSURE                 -0.22017534           0.366590371 -0.09482847
## CHRONIC DISEASE               -0.02645882           0.075176421 -0.03693785
## FATIGUE                        0.44174464          -0.132790075 -0.01083179
## ALLERGY                       -0.03005644          -0.061507906  0.23943303
## WHEEZING                       0.03783420           0.069027417  0.14764047
## ALCOHOL_CONSUMING             -0.17941584          -0.009293777  0.33122560
## COUGHING                       0.27738502          -0.157586304  0.08395775
## SHORTNESS OF BREATH            1.00000000          -0.161014804  0.02425607
## SWALLOWING DIFFICULTY         -0.16101480           1.000000000  0.06902742
## CHEST PAIN                     0.02425607           0.069027417  1.00000000
## WEIGHT                         0.01157763           0.050877795  0.06284525
## HEIGHT_INCH                   -0.04671399           0.092938786  0.09940380
##                              WEIGHT HEIGHT_INCH
## GENDER                -0.0108176806  0.05801867
## AGE                   -0.0282734442 -0.06456276
## SMOKING               -0.1541355630 -0.07812067
## YELLOW_FINGERS         0.0006496653  0.10660967
## ANXIETY               -0.0496500708  0.02092741
## PEER_PRESSURE          0.0696545532  0.07121714
## CHRONIC DISEASE        0.0600513268  0.04103442
## FATIGUE               -0.0066397795  0.05661653
## ALLERGY                0.0778820013  0.05533179
## WHEEZING               0.0432842670  0.01446635
## ALCOHOL_CONSUMING     -0.0191234431 -0.01540777
## COUGHING              -0.0070025333 -0.02078235
## SHORTNESS OF BREATH    0.0115776346 -0.04671399
## SWALLOWING DIFFICULTY  0.0508777954  0.09293879
## CHEST PAIN             0.0628452516  0.09940380
## WEIGHT                 1.0000000000  0.49244436
## HEIGHT_INCH            0.4924443557  1.00000000
# Using prcomp to compute the principal components (eigenvalues and eigenvectors). With scale=TRUE, variable means are set to zero, and variances set to one
cancer_pca <- prcomp(cancer[,-1],scale=TRUE)
cancer_pca
## Standard deviations (1, .., p=17):
##  [1] 1.6925050 1.3991347 1.2994647 1.2134854 1.1417493 1.0353277 0.9769035
##  [8] 0.9440119 0.9031531 0.8452754 0.7957706 0.7654147 0.7285322 0.7184765
## [15] 0.6352291 0.5647943 0.5262480
## 
## Rotation (n x k) = (17 x 17):
##                                 PC1          PC2         PC3         PC4
## GENDER                 0.3210475112 -0.286879473  0.17379787 -0.07237418
## AGE                   -0.0364649541  0.030795541  0.04688999  0.27943243
## SMOKING                0.0430283442 -0.003424731 -0.31567559  0.10751874
## YELLOW_FINGERS         0.3814759828  0.128104954  0.13853036  0.29389320
## ANXIETY                0.4033326977  0.205543431 -0.07469222  0.26312783
## PEER_PRESSURE          0.3069045925  0.105788877  0.22315119  0.15097246
## CHRONIC DISEASE        0.0902654180  0.066353796  0.10570086 -0.32228900
## FATIGUE               -0.1024499601 -0.391147209  0.29985430  0.20127738
## ALLERGY               -0.2493507498  0.239694551  0.12271547 -0.02157728
## WHEEZING              -0.2442608884  0.124539773  0.26727611  0.32565680
## ALCOHOL_CONSUMING     -0.3321543572  0.413483478 -0.08463899  0.03187039
## COUGHING              -0.2792205789 -0.058744485  0.24960914  0.42897511
## SHORTNESS OF BREATH   -0.1417347885 -0.424686551  0.17846341  0.18710306
## SWALLOWING DIFFICULTY  0.2925413504  0.343624495  0.11855529  0.25354529
## CHEST PAIN            -0.2335726303  0.316920719  0.02654379  0.06741104
## WEIGHT                -0.0003161562  0.138055198  0.49723646 -0.33025021
## HEIGHT_INCH            0.0485449546  0.155477544  0.49241846 -0.27906767
##                               PC5         PC6         PC7         PC8
## GENDER                 0.20073240 -0.24182352  0.01184223 -0.03985594
## AGE                    0.33787243  0.23970537  0.59890223 -0.53931034
## SMOKING               -0.52742230 -0.22454151  0.15463295 -0.20038365
## YELLOW_FINGERS        -0.02429773  0.03987572  0.14776817  0.31135018
## ANXIETY               -0.14203498  0.02100195  0.25209607  0.16394901
## PEER_PRESSURE          0.09868719 -0.13237811 -0.39679983 -0.48888049
## CHRONIC DISEASE        0.34336849 -0.58708763  0.27268807  0.16305791
## FATIGUE               -0.19343265 -0.19872006 -0.17492007 -0.30793949
## ALLERGY                0.06195362 -0.42347967  0.18154792 -0.13304550
## WHEEZING               0.15239622 -0.07376779 -0.30344915  0.23592177
## ALCOHOL_CONSUMING      0.10964754 -0.04578332 -0.04969458 -0.01545999
## COUGHING               0.13819136  0.11156157  0.09656026  0.21956243
## SHORTNESS OF BREATH   -0.26321037 -0.22493715  0.29003504  0.21690138
## SWALLOWING DIFFICULTY -0.08485041 -0.18711304 -0.12109907  0.02088317
## CHEST PAIN            -0.36362550 -0.22121918  0.06275957 -0.11472139
## WEIGHT                -0.18496760  0.24504959  0.13211070 -0.01887354
## HEIGHT_INCH           -0.28364547  0.18977120  0.11161979 -0.01894483
##                                PC9         PC10        PC11        PC12
## GENDER                 0.281223963 -0.244510475 -0.19864542  0.05106762
## AGE                   -0.181259271 -0.179178546 -0.05135663  0.09966744
## SMOKING                0.339753798 -0.456246291 -0.21657468 -0.12513209
## YELLOW_FINGERS         0.158443155  0.321656428 -0.15293052  0.26549819
## ANXIETY               -0.025925593 -0.006524112  0.32378188  0.05972929
## PEER_PRESSURE          0.096840684  0.223908923 -0.20262510 -0.31742172
## CHRONIC DISEASE       -0.258475999 -0.054485578 -0.19258350 -0.03483907
## FATIGUE               -0.196587965  0.100942472  0.31336340  0.29668046
## ALLERGY                0.539524367  0.193301357  0.42374977  0.12050452
## WHEEZING              -0.038620686 -0.568302398 -0.07283366  0.28908157
## ALCOHOL_CONSUMING     -0.031951385 -0.019777592  0.14861759 -0.21687274
## COUGHING               0.309583479  0.133044654 -0.28342941 -0.32037459
## SHORTNESS OF BREATH   -0.217039867  0.069598604  0.09520010 -0.35152144
## SWALLOWING DIFFICULTY -0.312852651 -0.209578384  0.23533684 -0.25912909
## CHEST PAIN            -0.292637073  0.281207000 -0.49725726  0.21746471
## WEIGHT                 0.003135894 -0.124979041  0.06520556 -0.37197858
## HEIGHT_INCH            0.109288894 -0.106118071 -0.05641311  0.28916542
##                              PC13        PC14        PC15        PC16
## GENDER                -0.15894162  0.55185603  0.36640789 -0.08405264
## AGE                   -0.04778967 -0.01222126 -0.04085982  0.10718595
## SMOKING                0.17075516 -0.24864171 -0.03445354 -0.03818447
## YELLOW_FINGERS         0.04413678 -0.28524951  0.08772850  0.24449863
## ANXIETY                0.07894326  0.02454333  0.36258509 -0.24996070
## PEER_PRESSURE          0.11049565 -0.16437026  0.05166587  0.26450112
## CHRONIC DISEASE        0.26824464 -0.30220749 -0.07820030 -0.16153534
## FATIGUE                0.23102739 -0.15679639  0.13579435 -0.35854302
## ALLERGY               -0.27698525  0.00347222 -0.14402150  0.09185413
## WHEEZING              -0.15780709 -0.21356468  0.10523380  0.20530205
## ALCOHOL_CONSUMING      0.47755491  0.19969356  0.50074175  0.13770113
## COUGHING               0.17712228  0.07652517 -0.18263798 -0.45814232
## SHORTNESS OF BREATH   -0.01819713  0.11879426  0.04977730  0.51704680
## SWALLOWING DIFFICULTY -0.12461765  0.28371676 -0.44270428 -0.11953032
## CHEST PAIN            -0.30203928  0.21227649  0.16091658 -0.11875744
## WEIGHT                -0.33879401 -0.31881843  0.29309129 -0.17393309
## HEIGHT_INCH            0.46330708  0.27552099 -0.26518467  0.16642627
##                              PC17
## GENDER                 0.16314656
## AGE                    0.05623413
## SMOKING                0.12035893
## YELLOW_FINGERS         0.48817125
## ANXIETY               -0.54709508
## PEER_PRESSURE         -0.29176685
## CHRONIC DISEASE       -0.07288202
## FATIGUE                0.20916257
## ALLERGY               -0.05062214
## WHEEZING              -0.18401827
## ALCOHOL_CONSUMING      0.29244662
## COUGHING              -0.07868837
## SHORTNESS OF BREATH   -0.11319831
## SWALLOWING DIFFICULTY  0.30009780
## CHEST PAIN            -0.07706518
## WEIGHT                 0.14740550
## HEIGHT_INCH           -0.15886979
summary(cancer_pca)
## Importance of components:
##                           PC1    PC2     PC3     PC4     PC5     PC6     PC7
## Standard deviation     1.6925 1.3991 1.29946 1.21349 1.14175 1.03533 0.97690
## Proportion of Variance 0.1685 0.1152 0.09933 0.08662 0.07668 0.06305 0.05614
## Cumulative Proportion  0.1685 0.2837 0.38299 0.46961 0.54629 0.60934 0.66548
##                            PC8     PC9    PC10    PC11    PC12    PC13    PC14
## Standard deviation     0.94401 0.90315 0.84528 0.79577 0.76541 0.72853 0.71848
## Proportion of Variance 0.05242 0.04798 0.04203 0.03725 0.03446 0.03122 0.03037
## Cumulative Proportion  0.71790 0.76588 0.80791 0.84516 0.87962 0.91084 0.94121
##                           PC15    PC16    PC17
## Standard deviation     0.63523 0.56479 0.52625
## Proportion of Variance 0.02374 0.01876 0.01629
## Cumulative Proportion  0.96495 0.98371 1.00000
# sample scores stored in cancer_pca$x
# singular values (square roots of eigenvalues) stored in cancer_pca$sdev
# loadings (eigenvectors) are stored in cancer_pca$rotation
# variable means stored in cancer_pca$center
# variable standard deviations stored in cancer_pca$scale
# A table containing eigenvalues and %'s accounted, follows
# Eigenvalues are sdev^2
(eigen_cancer <- cancer_pca$sdev^2)
##  [1] 2.8645733 1.9575778 1.6886084 1.4725468 1.3035915 1.0719035 0.9543405
##  [8] 0.8911585 0.8156856 0.7144905 0.6332509 0.5858596 0.5307591 0.5162084
## [15] 0.4035160 0.3189926 0.2769370
names(eigen_cancer) <- paste("PC",1:5,sep="")
eigen_cancer
##       PC1       PC2       PC3       PC4       PC5      <NA>      <NA>      <NA> 
## 2.8645733 1.9575778 1.6886084 1.4725468 1.3035915 1.0719035 0.9543405 0.8911585 
##      <NA>      <NA>      <NA>      <NA>      <NA>      <NA>      <NA>      <NA> 
## 0.8156856 0.7144905 0.6332509 0.5858596 0.5307591 0.5162084 0.4035160 0.3189926 
##      <NA> 
## 0.2769370
sumlambdas <- sum(eigen_cancer)
sumlambdas
## [1] 17
propvar <- eigen_cancer/sumlambdas
propvar
##        PC1        PC2        PC3        PC4        PC5       <NA>       <NA> 
## 0.16850431 0.11515164 0.09932991 0.08662040 0.07668185 0.06305315 0.05613767 
##       <NA>       <NA>       <NA>       <NA>       <NA>       <NA>       <NA> 
## 0.05242109 0.04798150 0.04202885 0.03725005 0.03446233 0.03122113 0.03036520 
##       <NA>       <NA>       <NA> 
## 0.02373623 0.01876427 0.01629041
cumvar_cancer <- cumsum(propvar)
cumvar_cancer
##       PC1       PC2       PC3       PC4       PC5      <NA>      <NA>      <NA> 
## 0.1685043 0.2836559 0.3829859 0.4696063 0.5462881 0.6093413 0.6654789 0.7179000 
##      <NA>      <NA>      <NA>      <NA>      <NA>      <NA>      <NA>      <NA> 
## 0.7658815 0.8079104 0.8451604 0.8796228 0.9108439 0.9412091 0.9649453 0.9837096 
##      <NA> 
## 1.0000000
matlambdas <- rbind(eigen_cancer,propvar,cumvar_cancer)
rownames(matlambdas) <- c("Eigenvalues","Prop. variance","Cum. prop. variance")
round(matlambdas,4)
##                        PC1    PC2    PC3    PC4    PC5   <NA>   <NA>   <NA>
## Eigenvalues         2.8646 1.9576 1.6886 1.4725 1.3036 1.0719 0.9543 0.8912
## Prop. variance      0.1685 0.1152 0.0993 0.0866 0.0767 0.0631 0.0561 0.0524
## Cum. prop. variance 0.1685 0.2837 0.3830 0.4696 0.5463 0.6093 0.6655 0.7179
##                       <NA>   <NA>   <NA>   <NA>   <NA>   <NA>   <NA>   <NA>
## Eigenvalues         0.8157 0.7145 0.6333 0.5859 0.5308 0.5162 0.4035 0.3190
## Prop. variance      0.0480 0.0420 0.0373 0.0345 0.0312 0.0304 0.0237 0.0188
## Cum. prop. variance 0.7659 0.8079 0.8452 0.8796 0.9108 0.9412 0.9649 0.9837
##                       <NA>
## Eigenvalues         0.2769
## Prop. variance      0.0163
## Cum. prop. variance 1.0000
summary(cancer_pca)
## Importance of components:
##                           PC1    PC2     PC3     PC4     PC5     PC6     PC7
## Standard deviation     1.6925 1.3991 1.29946 1.21349 1.14175 1.03533 0.97690
## Proportion of Variance 0.1685 0.1152 0.09933 0.08662 0.07668 0.06305 0.05614
## Cumulative Proportion  0.1685 0.2837 0.38299 0.46961 0.54629 0.60934 0.66548
##                            PC8     PC9    PC10    PC11    PC12    PC13    PC14
## Standard deviation     0.94401 0.90315 0.84528 0.79577 0.76541 0.72853 0.71848
## Proportion of Variance 0.05242 0.04798 0.04203 0.03725 0.03446 0.03122 0.03037
## Cumulative Proportion  0.71790 0.76588 0.80791 0.84516 0.87962 0.91084 0.94121
##                           PC15    PC16    PC17
## Standard deviation     0.63523 0.56479 0.52625
## Proportion of Variance 0.02374 0.01876 0.01629
## Cumulative Proportion  0.96495 0.98371 1.00000
cancer_pca$rotation
##                                 PC1          PC2         PC3         PC4
## GENDER                 0.3210475112 -0.286879473  0.17379787 -0.07237418
## AGE                   -0.0364649541  0.030795541  0.04688999  0.27943243
## SMOKING                0.0430283442 -0.003424731 -0.31567559  0.10751874
## YELLOW_FINGERS         0.3814759828  0.128104954  0.13853036  0.29389320
## ANXIETY                0.4033326977  0.205543431 -0.07469222  0.26312783
## PEER_PRESSURE          0.3069045925  0.105788877  0.22315119  0.15097246
## CHRONIC DISEASE        0.0902654180  0.066353796  0.10570086 -0.32228900
## FATIGUE               -0.1024499601 -0.391147209  0.29985430  0.20127738
## ALLERGY               -0.2493507498  0.239694551  0.12271547 -0.02157728
## WHEEZING              -0.2442608884  0.124539773  0.26727611  0.32565680
## ALCOHOL_CONSUMING     -0.3321543572  0.413483478 -0.08463899  0.03187039
## COUGHING              -0.2792205789 -0.058744485  0.24960914  0.42897511
## SHORTNESS OF BREATH   -0.1417347885 -0.424686551  0.17846341  0.18710306
## SWALLOWING DIFFICULTY  0.2925413504  0.343624495  0.11855529  0.25354529
## CHEST PAIN            -0.2335726303  0.316920719  0.02654379  0.06741104
## WEIGHT                -0.0003161562  0.138055198  0.49723646 -0.33025021
## HEIGHT_INCH            0.0485449546  0.155477544  0.49241846 -0.27906767
##                               PC5         PC6         PC7         PC8
## GENDER                 0.20073240 -0.24182352  0.01184223 -0.03985594
## AGE                    0.33787243  0.23970537  0.59890223 -0.53931034
## SMOKING               -0.52742230 -0.22454151  0.15463295 -0.20038365
## YELLOW_FINGERS        -0.02429773  0.03987572  0.14776817  0.31135018
## ANXIETY               -0.14203498  0.02100195  0.25209607  0.16394901
## PEER_PRESSURE          0.09868719 -0.13237811 -0.39679983 -0.48888049
## CHRONIC DISEASE        0.34336849 -0.58708763  0.27268807  0.16305791
## FATIGUE               -0.19343265 -0.19872006 -0.17492007 -0.30793949
## ALLERGY                0.06195362 -0.42347967  0.18154792 -0.13304550
## WHEEZING               0.15239622 -0.07376779 -0.30344915  0.23592177
## ALCOHOL_CONSUMING      0.10964754 -0.04578332 -0.04969458 -0.01545999
## COUGHING               0.13819136  0.11156157  0.09656026  0.21956243
## SHORTNESS OF BREATH   -0.26321037 -0.22493715  0.29003504  0.21690138
## SWALLOWING DIFFICULTY -0.08485041 -0.18711304 -0.12109907  0.02088317
## CHEST PAIN            -0.36362550 -0.22121918  0.06275957 -0.11472139
## WEIGHT                -0.18496760  0.24504959  0.13211070 -0.01887354
## HEIGHT_INCH           -0.28364547  0.18977120  0.11161979 -0.01894483
##                                PC9         PC10        PC11        PC12
## GENDER                 0.281223963 -0.244510475 -0.19864542  0.05106762
## AGE                   -0.181259271 -0.179178546 -0.05135663  0.09966744
## SMOKING                0.339753798 -0.456246291 -0.21657468 -0.12513209
## YELLOW_FINGERS         0.158443155  0.321656428 -0.15293052  0.26549819
## ANXIETY               -0.025925593 -0.006524112  0.32378188  0.05972929
## PEER_PRESSURE          0.096840684  0.223908923 -0.20262510 -0.31742172
## CHRONIC DISEASE       -0.258475999 -0.054485578 -0.19258350 -0.03483907
## FATIGUE               -0.196587965  0.100942472  0.31336340  0.29668046
## ALLERGY                0.539524367  0.193301357  0.42374977  0.12050452
## WHEEZING              -0.038620686 -0.568302398 -0.07283366  0.28908157
## ALCOHOL_CONSUMING     -0.031951385 -0.019777592  0.14861759 -0.21687274
## COUGHING               0.309583479  0.133044654 -0.28342941 -0.32037459
## SHORTNESS OF BREATH   -0.217039867  0.069598604  0.09520010 -0.35152144
## SWALLOWING DIFFICULTY -0.312852651 -0.209578384  0.23533684 -0.25912909
## CHEST PAIN            -0.292637073  0.281207000 -0.49725726  0.21746471
## WEIGHT                 0.003135894 -0.124979041  0.06520556 -0.37197858
## HEIGHT_INCH            0.109288894 -0.106118071 -0.05641311  0.28916542
##                              PC13        PC14        PC15        PC16
## GENDER                -0.15894162  0.55185603  0.36640789 -0.08405264
## AGE                   -0.04778967 -0.01222126 -0.04085982  0.10718595
## SMOKING                0.17075516 -0.24864171 -0.03445354 -0.03818447
## YELLOW_FINGERS         0.04413678 -0.28524951  0.08772850  0.24449863
## ANXIETY                0.07894326  0.02454333  0.36258509 -0.24996070
## PEER_PRESSURE          0.11049565 -0.16437026  0.05166587  0.26450112
## CHRONIC DISEASE        0.26824464 -0.30220749 -0.07820030 -0.16153534
## FATIGUE                0.23102739 -0.15679639  0.13579435 -0.35854302
## ALLERGY               -0.27698525  0.00347222 -0.14402150  0.09185413
## WHEEZING              -0.15780709 -0.21356468  0.10523380  0.20530205
## ALCOHOL_CONSUMING      0.47755491  0.19969356  0.50074175  0.13770113
## COUGHING               0.17712228  0.07652517 -0.18263798 -0.45814232
## SHORTNESS OF BREATH   -0.01819713  0.11879426  0.04977730  0.51704680
## SWALLOWING DIFFICULTY -0.12461765  0.28371676 -0.44270428 -0.11953032
## CHEST PAIN            -0.30203928  0.21227649  0.16091658 -0.11875744
## WEIGHT                -0.33879401 -0.31881843  0.29309129 -0.17393309
## HEIGHT_INCH            0.46330708  0.27552099 -0.26518467  0.16642627
##                              PC17
## GENDER                 0.16314656
## AGE                    0.05623413
## SMOKING                0.12035893
## YELLOW_FINGERS         0.48817125
## ANXIETY               -0.54709508
## PEER_PRESSURE         -0.29176685
## CHRONIC DISEASE       -0.07288202
## FATIGUE                0.20916257
## ALLERGY               -0.05062214
## WHEEZING              -0.18401827
## ALCOHOL_CONSUMING      0.29244662
## COUGHING              -0.07868837
## SHORTNESS OF BREATH   -0.11319831
## SWALLOWING DIFFICULTY  0.30009780
## CHEST PAIN            -0.07706518
## WEIGHT                 0.14740550
## HEIGHT_INCH           -0.15886979
print(cancer_pca)
## Standard deviations (1, .., p=17):
##  [1] 1.6925050 1.3991347 1.2994647 1.2134854 1.1417493 1.0353277 0.9769035
##  [8] 0.9440119 0.9031531 0.8452754 0.7957706 0.7654147 0.7285322 0.7184765
## [15] 0.6352291 0.5647943 0.5262480
## 
## Rotation (n x k) = (17 x 17):
##                                 PC1          PC2         PC3         PC4
## GENDER                 0.3210475112 -0.286879473  0.17379787 -0.07237418
## AGE                   -0.0364649541  0.030795541  0.04688999  0.27943243
## SMOKING                0.0430283442 -0.003424731 -0.31567559  0.10751874
## YELLOW_FINGERS         0.3814759828  0.128104954  0.13853036  0.29389320
## ANXIETY                0.4033326977  0.205543431 -0.07469222  0.26312783
## PEER_PRESSURE          0.3069045925  0.105788877  0.22315119  0.15097246
## CHRONIC DISEASE        0.0902654180  0.066353796  0.10570086 -0.32228900
## FATIGUE               -0.1024499601 -0.391147209  0.29985430  0.20127738
## ALLERGY               -0.2493507498  0.239694551  0.12271547 -0.02157728
## WHEEZING              -0.2442608884  0.124539773  0.26727611  0.32565680
## ALCOHOL_CONSUMING     -0.3321543572  0.413483478 -0.08463899  0.03187039
## COUGHING              -0.2792205789 -0.058744485  0.24960914  0.42897511
## SHORTNESS OF BREATH   -0.1417347885 -0.424686551  0.17846341  0.18710306
## SWALLOWING DIFFICULTY  0.2925413504  0.343624495  0.11855529  0.25354529
## CHEST PAIN            -0.2335726303  0.316920719  0.02654379  0.06741104
## WEIGHT                -0.0003161562  0.138055198  0.49723646 -0.33025021
## HEIGHT_INCH            0.0485449546  0.155477544  0.49241846 -0.27906767
##                               PC5         PC6         PC7         PC8
## GENDER                 0.20073240 -0.24182352  0.01184223 -0.03985594
## AGE                    0.33787243  0.23970537  0.59890223 -0.53931034
## SMOKING               -0.52742230 -0.22454151  0.15463295 -0.20038365
## YELLOW_FINGERS        -0.02429773  0.03987572  0.14776817  0.31135018
## ANXIETY               -0.14203498  0.02100195  0.25209607  0.16394901
## PEER_PRESSURE          0.09868719 -0.13237811 -0.39679983 -0.48888049
## CHRONIC DISEASE        0.34336849 -0.58708763  0.27268807  0.16305791
## FATIGUE               -0.19343265 -0.19872006 -0.17492007 -0.30793949
## ALLERGY                0.06195362 -0.42347967  0.18154792 -0.13304550
## WHEEZING               0.15239622 -0.07376779 -0.30344915  0.23592177
## ALCOHOL_CONSUMING      0.10964754 -0.04578332 -0.04969458 -0.01545999
## COUGHING               0.13819136  0.11156157  0.09656026  0.21956243
## SHORTNESS OF BREATH   -0.26321037 -0.22493715  0.29003504  0.21690138
## SWALLOWING DIFFICULTY -0.08485041 -0.18711304 -0.12109907  0.02088317
## CHEST PAIN            -0.36362550 -0.22121918  0.06275957 -0.11472139
## WEIGHT                -0.18496760  0.24504959  0.13211070 -0.01887354
## HEIGHT_INCH           -0.28364547  0.18977120  0.11161979 -0.01894483
##                                PC9         PC10        PC11        PC12
## GENDER                 0.281223963 -0.244510475 -0.19864542  0.05106762
## AGE                   -0.181259271 -0.179178546 -0.05135663  0.09966744
## SMOKING                0.339753798 -0.456246291 -0.21657468 -0.12513209
## YELLOW_FINGERS         0.158443155  0.321656428 -0.15293052  0.26549819
## ANXIETY               -0.025925593 -0.006524112  0.32378188  0.05972929
## PEER_PRESSURE          0.096840684  0.223908923 -0.20262510 -0.31742172
## CHRONIC DISEASE       -0.258475999 -0.054485578 -0.19258350 -0.03483907
## FATIGUE               -0.196587965  0.100942472  0.31336340  0.29668046
## ALLERGY                0.539524367  0.193301357  0.42374977  0.12050452
## WHEEZING              -0.038620686 -0.568302398 -0.07283366  0.28908157
## ALCOHOL_CONSUMING     -0.031951385 -0.019777592  0.14861759 -0.21687274
## COUGHING               0.309583479  0.133044654 -0.28342941 -0.32037459
## SHORTNESS OF BREATH   -0.217039867  0.069598604  0.09520010 -0.35152144
## SWALLOWING DIFFICULTY -0.312852651 -0.209578384  0.23533684 -0.25912909
## CHEST PAIN            -0.292637073  0.281207000 -0.49725726  0.21746471
## WEIGHT                 0.003135894 -0.124979041  0.06520556 -0.37197858
## HEIGHT_INCH            0.109288894 -0.106118071 -0.05641311  0.28916542
##                              PC13        PC14        PC15        PC16
## GENDER                -0.15894162  0.55185603  0.36640789 -0.08405264
## AGE                   -0.04778967 -0.01222126 -0.04085982  0.10718595
## SMOKING                0.17075516 -0.24864171 -0.03445354 -0.03818447
## YELLOW_FINGERS         0.04413678 -0.28524951  0.08772850  0.24449863
## ANXIETY                0.07894326  0.02454333  0.36258509 -0.24996070
## PEER_PRESSURE          0.11049565 -0.16437026  0.05166587  0.26450112
## CHRONIC DISEASE        0.26824464 -0.30220749 -0.07820030 -0.16153534
## FATIGUE                0.23102739 -0.15679639  0.13579435 -0.35854302
## ALLERGY               -0.27698525  0.00347222 -0.14402150  0.09185413
## WHEEZING              -0.15780709 -0.21356468  0.10523380  0.20530205
## ALCOHOL_CONSUMING      0.47755491  0.19969356  0.50074175  0.13770113
## COUGHING               0.17712228  0.07652517 -0.18263798 -0.45814232
## SHORTNESS OF BREATH   -0.01819713  0.11879426  0.04977730  0.51704680
## SWALLOWING DIFFICULTY -0.12461765  0.28371676 -0.44270428 -0.11953032
## CHEST PAIN            -0.30203928  0.21227649  0.16091658 -0.11875744
## WEIGHT                -0.33879401 -0.31881843  0.29309129 -0.17393309
## HEIGHT_INCH            0.46330708  0.27552099 -0.26518467  0.16642627
##                              PC17
## GENDER                 0.16314656
## AGE                    0.05623413
## SMOKING                0.12035893
## YELLOW_FINGERS         0.48817125
## ANXIETY               -0.54709508
## PEER_PRESSURE         -0.29176685
## CHRONIC DISEASE       -0.07288202
## FATIGUE                0.20916257
## ALLERGY               -0.05062214
## WHEEZING              -0.18401827
## ALCOHOL_CONSUMING      0.29244662
## COUGHING              -0.07868837
## SHORTNESS OF BREATH   -0.11319831
## SWALLOWING DIFFICULTY  0.30009780
## CHEST PAIN            -0.07706518
## WEIGHT                 0.14740550
## HEIGHT_INCH           -0.15886979
## Sample scores stored in cancer_pca$x
cancer_pca$x
##                 PC1          PC2         PC3          PC4          PC5
##   [1,] -0.646329947  0.332751806 -0.44274023  2.859184418  0.122598754
##   [2,] -0.610508061  0.058855781  0.83878638 -1.618262677 -1.600337930
##   [3,] -0.749550736 -1.504421159  2.66955055 -0.633003311 -0.554423032
##   [4,]  1.096019632  2.420201554 -1.33296429 -0.623882219 -1.620199492
##   [5,]  0.036188930 -1.476567174  1.06322075 -0.297399332  0.877535001
##   [6,] -0.532567242 -1.816704968  1.59490775  0.295408659  1.957759532
##   [7,] -2.543550172 -0.443750841  0.65879801 -0.490274648 -2.164652907
##   [8,]  2.572207921 -0.611692066  0.98184227 -0.400242160 -2.014776748
##   [9,]  1.272938608 -1.748902681 -2.03358144 -0.603715268 -0.190135930
##  [10,]  1.396823254  2.844502270 -1.74624933 -0.548914628 -0.481234509
##  [11,]  2.064989024 -1.179537297  0.77287410  1.619240317  0.200840281
##  [12,] -3.094017924 -0.236356800  0.18223710  0.351212010  1.270144781
##  [13,]  0.217887666 -2.889346007 -0.91100600 -1.432307481 -1.045267875
##  [14,] -3.138457875 -0.373951998 -0.53082600  0.580383563 -1.106225675
##  [15,] -2.644849262  1.404467949 -1.44318316  0.143100628  0.232452899
##  [16,]  1.650628200 -0.224745382  3.27395413 -0.093011818 -0.017887882
##  [17,] -2.832351242  0.682525475 -0.73821564 -0.010801951  0.679269335
##  [18,]  1.926614145  2.783633537 -0.57374848 -1.250303351 -1.057854292
##  [19,]  2.058726013 -1.588839942  1.68092889 -0.276981888 -0.505797399
##  [20,]  0.277622753 -2.858606054 -0.42259847 -2.045803131  0.939549144
##  [21,]  3.229605844 -1.107957864  0.54769701 -1.054795775 -1.494603821
##  [22,]  1.856494117  1.281078425  1.72529424  0.500791276  1.185679005
##  [23,] -0.050480044 -3.127406007 -3.04980327 -1.990025288 -0.705699392
##  [24,] -3.114648178 -0.180587030  0.10426359  0.266726364 -1.323963055
##  [25,]  0.277610744  3.357861077  0.49327829  0.917467589  0.437189391
##  [26,] -0.593103049  0.624184222  0.58814373  2.058674696 -0.508287510
##  [27,]  0.798726715  0.817444755  0.93374653 -0.444838292 -2.523918618
##  [28,] -1.483179713 -1.292781315  1.00754634  0.715640195  0.065334512
##  [29,]  1.135171580  0.783408309 -1.75430086  0.465724163 -0.417313447
##  [30,] -1.513992882 -1.471854090 -0.71445396  1.239531591  0.767188290
##  [31,]  1.249804903 -1.966549418 -1.89456009 -0.936322757 -0.643651435
##  [32,] -1.015659657  1.565562602 -1.96636100  0.688684179 -1.044736566
##  [33,]  1.959456710 -0.179323614 -1.66903462 -0.161407143 -1.632984057
##  [34,]  2.332965976  0.401390187  0.14559217 -1.127745419 -1.393041621
##  [35,]  1.785139801  1.845010472  0.27438022 -1.498888257 -1.437361903
##  [36,]  2.803119610 -0.463091900 -0.61631147 -1.129814399 -0.672500165
##  [37,] -0.906183428 -0.252869061  0.60868898 -0.552044454  0.490794665
##  [38,]  0.625607571 -1.096717211 -0.29615831 -1.482097111  1.247479925
##  [39,] -0.980782008 -0.452929695 -1.00809976 -1.791086031 -0.953341909
##  [40,] -2.531034433  1.054359249 -2.75170356  0.062941767  1.314619757
##  [41,] -1.849943675 -0.036969503 -0.70926167  0.528593229 -1.528261831
##  [42,] -0.768929068  0.787507023 -0.50866975  0.164717527  1.435220054
##  [43,]  1.593703995  0.429036798  1.52983078 -0.546232596  1.925341348
##  [44,] -1.913272210  0.172794143  0.20744605 -0.721150606 -1.789307797
##  [45,]  1.543800949  0.459571313 -1.73845136  0.640217881  2.124908844
##  [46,]  0.292377930  1.094376928  0.98377124  1.985566661 -0.599839321
##  [47,] -0.251600030  0.717276148  0.11116195 -0.575662628 -0.910947467
##  [48,]  0.254838293  0.616454646  0.11114292  1.765377472 -0.055649992
##  [49,]  0.179367433  1.125141361  2.32349723 -0.520119821  0.277971205
##  [50,]  0.952911843  1.162517658 -0.71030972 -2.443376329  1.135427261
##  [51,] -0.851848170  0.904980380  1.94819723 -2.525220801  0.637015235
##  [52,]  0.301087025 -0.841444915 -0.33470279  0.020924532 -0.407424612
##  [53,] -0.906545994  1.108874215  1.03521271  0.179671277 -0.804835301
##  [54,] -1.669956979  0.706463198  0.54089194  0.336371630 -0.952496542
##  [55,]  0.195017025 -0.473764877  0.02002028 -0.520758210  2.360776695
##  [56,]  0.200650077  2.716951889  1.41770341 -0.952121471  0.740632192
##  [57,]  0.518073225 -1.367268061  2.81032243 -0.783212228 -0.937364905
##  [58,] -1.831824121  1.109402015 -0.45190838 -0.415424258  1.192288451
##  [59,]  0.685756178 -0.408794213  0.31395717  0.052650501 -0.299515433
##  [60,] -0.498748639  0.460812608  0.14593215  1.348117096 -1.331297016
##  [61,] -0.851501742  1.873535014  1.07688266  1.057769336  1.654911975
##  [62,]  1.671406217 -0.423441611  0.01975544 -0.908557402  0.637102625
##  [63,] -1.102287719  0.573598828  1.07737079  0.769959205  1.589212310
##  [64,]  0.487489582  1.589885359 -0.52386479 -1.031169208  2.329019058
##  [65,] -1.821523333  0.607204567  2.39323915  0.916516254  0.021873142
##  [66,]  1.890194887  0.314196298  0.21915753  1.943292140  0.447955709
##  [67,] -0.908993115 -1.002601881  2.42194180 -0.792706294  0.098085784
##  [68,] -2.188253111 -1.295291142 -0.20414494  0.389988620 -0.418881441
##  [69,]  1.922127515 -0.483661450 -0.89450174  1.892882896 -0.799898913
##  [70,]  1.831473258 -1.208432390  0.77153641  2.788481409  0.126999960
##  [71,]  1.111645609  2.745232439 -1.90160470  0.587416793 -0.459646651
##  [72,]  1.972055116 -0.866834386  1.97362887  1.622670501 -1.020641169
##  [73,] -3.014541351  0.230927487  1.82358730 -0.870777134  0.323242135
##  [74,]  0.297544932 -3.341535872 -2.66498436 -0.870757883  0.580788533
##  [75,] -3.123513629 -0.202316474  0.02439536  0.353201837 -1.241766589
##  [76,] -2.175119346  0.619405502 -1.87693522 -0.203685676  0.728913726
##  [77,]  0.988165063  0.281111344  2.73257900  1.428695160  0.826564602
##  [78,] -3.171148404 -0.393624263 -0.52860137  0.462431181 -1.108134631
##  [79,]  1.909872378  2.594516335 -1.37039805 -0.316273317 -0.384527514
##  [80,]  1.884232732 -0.836929091  0.25971121  2.107873428 -1.134661282
##  [81,]  0.148410514 -2.759622666  0.17058795 -2.012337053 -0.253735238
##  [82,]  3.159260208 -1.376912455 -0.46218545 -0.031919056 -0.631448204
##  [83,]  1.589202745  3.215922052  1.45544104 -1.156249670 -0.416540691
##  [84,] -0.735262114 -0.558683606  0.06426583 -0.614419304  3.046112719
##  [85,] -2.492696658 -0.248148077  0.57351965 -1.485832190 -0.156211037
##  [86,]  0.164831585  1.067984585  0.76191427  0.778873264 -0.004490012
##  [87,] -0.791080564  1.277284906  0.13896203 -0.512508540  0.424119906
##  [88,]  1.019972886  1.038546046  0.67879987  0.166896049 -1.036950670
##  [89,]  1.355490521  1.048191345 -1.19753355 -1.835391137  0.487381401
##  [90,] -0.217694604  1.268039722  0.47349157 -1.166491895 -0.149140965
##  [91,]  0.200980870  1.569364821  0.23589533 -1.010042731  0.739065292
##  [92,] -1.224091912 -1.370670443  1.95314352 -1.673818763  0.298939223
##  [93,] -1.377079915  1.986294419  0.87166613 -2.146700312 -1.490469516
##  [94,]  1.105509567  1.009068862  0.89835083  0.952703555  1.771596512
##  [95,] -1.763739245  0.521690848  0.52910283 -1.278362192 -1.910301720
##  [96,]  2.144246653  1.031814241  0.70297021 -0.327085070 -1.299959938
##  [97,] -0.247301899  0.219966733 -1.52379872  0.759730600 -0.649174503
##  [98,] -0.943580309 -0.985801589 -2.47162486  0.257887623  0.377111320
##  [99,]  1.434728986  0.425244821  0.30490166  1.146598321  0.613218154
## [100,] -3.084789560 -0.318539996 -0.37773171  0.447133452 -1.342039635
## [101,] -2.211988131  0.291466382 -3.00610005  0.509360032  1.226245309
## [102,]  0.934186102  0.103006060  2.09662512  2.008597406  1.345721614
## [103,] -3.134406710 -0.118005299  0.30107545  0.285470960 -1.220197353
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## [197,] -0.813244847  0.880928753 -1.22887662  0.288977960  0.912007999
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## [288,]  3.070879292 -0.884056499  1.49195594 -0.861410776 -2.416739566
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## [290,] -0.148458186 -2.510569491 -1.25163372 -1.591987828  0.190570397
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## [295,] -1.473211209 -1.294127913  1.01677328  0.634936076 -0.026911060
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## [297,] -1.529405423 -1.178528936  0.25100317  0.921255092  0.711687244
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## [299,] -1.904656129 -0.528637935 -1.18196439  1.415971336 -1.132951811
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## [301,]  1.150509115  0.284559833  2.21074344  1.095715426 -0.877160551
## [302,]  1.152918867  3.108695777 -0.10406543 -0.443281716 -0.231421332
## [303,]  1.932277477 -1.124180447  1.11643983  2.110205036 -0.653007261
## [304,] -2.222289178  0.217516381  1.31604101 -0.408380875 -0.025831892
## [305,]  0.309135098 -1.125563191  1.01347625 -0.729745122  1.004636281
## [306,] -3.290318919 -0.773981843 -1.92760392  1.864300336  0.137285445
## [307,] -2.664442991  1.297484746 -1.64793851 -0.204320402 -0.026482672
## [308,] -1.831829290  0.042083823 -0.43588975  0.322802182 -1.701712188
## [309,] -0.648431973  1.114788359  0.51649880 -0.439377745  0.770588458
##                  PC6           PC7          PC8          PC9          PC10
##   [1,]  0.7182594090  0.0900371245  1.051744451 -1.937650817  0.4989633841
##   [2,] -0.6772550951  1.9777064114 -1.557168739 -1.216866754 -0.5305604825
##   [3,]  1.1916488129 -1.2195053227 -0.411285727 -0.323523971 -0.1148162874
##   [4,]  1.7403584683  0.6091639642  0.258612735 -0.654105790 -0.2130147794
##   [5,]  2.1847893962  0.2198466952  1.845426766  0.627204075 -0.6014890431
##   [6,] -0.2480383908  1.4550678660  0.483870124  0.558138013 -0.2014692509
##   [7,]  0.9965416546 -0.8530147261  0.684045214 -0.285018564 -0.7811912336
##   [8,] -0.5055130553 -0.4251606584 -0.227317424  1.333349131  0.1917601304
##   [9,]  1.1709683751  0.1970313925 -1.162926497  0.312410711 -1.0231229714
##  [10,] -1.4206369931 -0.3235588013  0.045516341  0.241215288  1.0354175725
##  [11,] -0.9877439635 -0.2335341620  0.675723070 -0.141706192 -1.1092713774
##  [12,] -0.7610221388  0.7783351846 -0.103927236 -0.972945187  0.3836599781
##  [13,]  0.7356356660 -0.1182467785 -0.538078442  0.115259335 -0.8498243779
##  [14,] -0.3303380494 -0.4144204301  0.078712304  0.509575391 -0.1786395470
##  [15,]  0.8668959754  0.1542886143 -0.441232526  1.201097550 -0.7763798784
##  [16,] -1.0582597188 -0.7242179155  1.600738198  0.810017235  0.0978269150
##  [17,] -0.5049244711  1.7816022095 -0.061502145  0.001210227 -0.9101287848
##  [18,]  0.1840838476 -0.0442652608 -0.003095435 -0.819714203  0.2257921571
##  [19,]  0.4184360878  1.5182832851 -0.362960279  0.678886989 -0.0700320345
##  [20,] -0.1026575213  0.1029842000  0.139143879 -1.173656688  0.0186207447
##  [21,] -1.1480175988 -0.8296570774  0.839375250 -0.234943802 -0.0825857254
##  [22,]  1.3263081293 -0.4222197926  0.444424752  1.718445639 -0.4170879515
##  [23,] -3.4638911787 -2.6363622952  2.172674109  1.263816491  0.8334590948
##  [24,] -0.0004180954 -0.1158383494 -0.076506354  0.541266927 -0.3670905070
##  [25,] -0.2750442777  0.9287661421 -0.325823814  0.423680522 -0.5182746874
##  [26,]  1.0816548676  0.0640144973  1.274308400 -1.764172546  0.3344585771
##  [27,] -0.2832546918  1.2360719838 -0.187090224  0.315365054 -0.0554968227
##  [28,]  1.3433206731 -0.8591849926 -0.936163793 -1.220062630  0.4830794498
##  [29,] -1.6799924024 -0.0281633721  2.156630368 -1.020784884 -1.1447949606
##  [30,]  1.0710626285 -1.3284110672  1.834728862 -0.381994526  0.6811806747
##  [31,]  0.8185042829  0.1595997123  0.965113863  0.982824838 -0.1867421466
##  [32,] -0.5116245789  0.2213173362  0.411993823 -0.538385421 -1.0926900877
##  [33,]  1.2290071541  0.4714686091  1.461225803 -0.325889829 -0.2473663898
##  [34,] -0.0646666045  2.2433620737  0.710404490 -0.950511191 -0.7809675133
##  [35,]  2.4754853111  0.2893439181  0.923999043 -0.982576123  0.6579637222
##  [36,] -0.1422025234  1.3713987956  1.491799348 -0.266482715 -1.0176272530
##  [37,]  0.8160953361  0.5636397794  2.230793234 -1.029467745  0.4891853321
##  [38,] -0.3534221454 -0.7417774978  1.638132555 -1.319142919 -1.6484147935
##  [39,] -0.1721706898  0.0335387929  1.024852681 -1.148675650 -1.2064988678
##  [40,] -1.1755253233 -0.3055779800  0.531840085  0.641114542 -0.3585174104
##  [41,]  0.3339185093  1.5334741172 -0.742220999  0.397824082  0.6322714144
##  [42,]  0.1743686979 -2.4061791305 -1.430371076 -0.412504818 -0.2390151804
##  [43,]  1.0164937988  0.2833156337 -0.990443898 -0.608638156 -0.8755992881
##  [44,] -0.6089020677 -1.6271801419 -0.979063296  0.261435435 -0.0709340761
##  [45,] -0.2960954667 -0.0609937498 -0.506122202  0.560648901 -0.3045133671
##  [46,] -0.4779798997  0.7123433988 -0.252310393 -1.474850571 -0.4690179776
##  [47,] -0.5681313101  1.8002197935  0.989506417  0.151660074  0.5940115661
##  [48,]  0.0650024003 -1.6861801155 -0.882564748  0.225197238 -0.6288864935
##  [49,] -1.3100505736  0.3797064291 -1.171015537 -1.344665437 -0.7421368508
##  [50,]  1.3420468766 -0.3811321637 -0.227571574 -0.652518402  0.3433578516
##  [51,] -0.8400332772 -1.4635314100 -1.078142846  0.099897456 -0.1895171928
##  [52,] -0.8236403909  1.1294305256  0.840477295  0.190213575 -0.6073655522
##  [53,] -0.7293181061 -2.1049759827 -1.159698724  1.358785707 -0.9020524475
##  [54,] -2.3456226474 -1.5198752771  0.052128540 -0.129470207 -0.1026399486
##  [55,] -0.8361005036 -0.9337361769 -0.234221327  1.426062323  1.7765311821
##  [56,]  0.6763606802  0.0390138240  2.563417845  0.722616967 -0.3790244685
##  [57,]  1.6946080427  0.0698616819 -0.534759032  0.043136450  1.5033693120
##  [58,] -0.3582806110  1.6811886957  0.042283265 -1.182450667  0.7849571961
##  [59,] -1.3495183401 -2.2578695319  1.090262317 -2.250237313  1.0030432414
##  [60,]  0.2690629341  1.1554971565 -1.160881822  0.832217716  1.6653117813
##  [61,] -0.7234518984 -0.6127871702 -0.742339680 -0.649836684  0.8693699595
##  [62,]  2.7376481997  0.5069278238  1.443017228  1.237888114  0.4514609616
##  [63,]  1.4658335990 -0.9257069648 -0.898460096  1.182587630  0.7225827545
##  [64,] -0.3455726719  0.3440809009  0.421923404 -0.198799051 -1.7624832578
##  [65,]  1.0291862289  0.3015066007 -0.973691647  0.197857462  1.1499283042
##  [66,] -0.8641232698 -0.0765569415 -0.652176582 -0.405376799 -0.8177445459
##  [67,] -0.8224879637  0.4260268121  1.467835590  0.414959404  0.5598897961
##  [68,]  1.4683182389 -0.1736121977  0.029019490 -0.125692739 -1.4472406140
##  [69,] -1.1647333718  1.0018628504 -2.021014782  0.026036013  0.7065863902
##  [70,]  0.7122713714  0.4831732842 -0.770951147  0.048311261 -1.3917275625
##  [71,]  0.2163691129  0.2332136225 -1.264055897  0.342708666  0.8105451156
##  [72,]  0.8927285143 -0.0892148898 -0.031393992  0.512702951 -1.4173886846
##  [73,] -0.1471944405  0.8343504360  0.160820099 -0.725256307  0.0941240714
##  [74,] -1.2948417212 -0.0557786798 -0.137358569 -0.634600071 -0.5015041758
##  [75,] -0.0085485247 -0.0638697694 -0.138921766  0.508917015 -0.3690218531
##  [76,]  0.8865859209 -0.8394523284  0.524187877  1.924133725 -1.0392422670
##  [77,] -0.9823598934  1.2710772242 -0.440050417 -0.551349005  0.2165906641
##  [78,] -0.3369973922 -0.5403419775  0.209784606  0.463483093 -0.1534376132
##  [79,]  0.0259121267  0.4476842656 -0.627700825 -0.986909443  0.2319467291
##  [80,]  0.2603971391  0.8509880060 -1.147268964 -0.332077475  0.4277897576
##  [81,]  1.3454849598 -0.4571683277 -0.020774310 -0.503014456  0.0002491504
##  [82,] -1.3530858031 -0.3732312052  0.223143075 -0.520275980 -0.0422490303
##  [83,] -0.7627017522  0.3161724869 -0.237643091  0.721497336 -1.3314564476
##  [84,] -0.0620643948  1.6063796501 -1.349044882  0.595672201  0.4284075233
##  [85,] -0.6206514250  0.4762684616  0.434017829 -0.448693689  1.6330839047
##  [86,]  2.1908847748  0.1637682633  2.454547104 -0.535495194 -0.5434528668
##  [87,]  0.2751173563  2.4020282519  1.387369642 -0.084458879  1.8146097334
##  [88,]  1.6504616104 -0.6662903002  0.575775492 -1.644130385 -0.1523657271
##  [89,] -0.2146076649  1.4666407787  0.505539732  1.817924110 -0.4343689651
##  [90,] -2.1768553940 -1.7351397721 -1.333156393  0.080157982 -1.2516603384
##  [91,]  1.0186361905 -2.0232826855 -0.799342765 -0.912119506 -1.0274541464
##  [92,] -0.2200662088  1.8899057953 -0.629502096 -0.091212678  0.6710501797
##  [93,] -1.0107223981 -0.8968021944 -0.126530551 -0.421850393 -1.4183187612
##  [94,] -1.1577149024 -0.0636793450  1.564665414  0.807153497 -0.0043867516
##  [95,] -1.5072647311  0.0592587589  0.582670492 -0.164119150  0.3775130916
##  [96,]  1.5259187055 -0.9655011371 -0.748051421 -1.302623761  1.4527806508
##  [97,] -0.1637854681  1.5368529740  0.950410816  1.721597416  0.9008138964
##  [98,]  0.9508989263 -0.8494160616 -0.248636294  0.471625838  0.4169054384
##  [99,]  1.0144025218 -0.4992410790 -0.560620283  0.691692676  1.7044333766
## [100,] -0.3562594091 -0.5342511547  0.203608313  0.652327066 -0.1601264925
## [101,]  0.3708067531 -1.1246810404  0.567242964  1.835325079 -0.7690079514
## [102,] -1.1290063766  1.4719086875 -0.743095409 -0.735893847  0.2628648726
## [103,]  0.2041381246  0.2229040775 -0.345847951  0.449964713 -0.4987912831
## [104,] -0.8695346006 -0.3409421701 -0.232314140 -1.113917852  0.7431986222
## [105,]  0.0723947812  0.6925719895 -1.069418071 -0.310371025  0.5304621119
## [106,] -0.0554569866  0.0755250438  0.196947992 -1.101256206 -0.0028281165
## [107,] -1.0389338753  0.2008116952 -0.247093174 -0.624737779 -0.2552554493
## [108,] -1.7760017934 -0.3625785345 -0.024329847  0.546246507 -0.7826981967
## [109,] -0.6959887781 -0.5506915739  0.722714406  1.481103955  0.9582937953
## [110,] -1.5009075090 -0.2694747464  0.242771907 -1.313300537  1.7446768220
## [111,]  0.7721592121 -0.5007936668  1.741059639 -1.582473312  0.5383504753
## [112,] -0.1786876761  1.0043210869 -0.076456082 -0.295559463  0.6303679021
## [113,]  1.0975871227 -0.7515649166 -0.976754994 -0.483134189 -0.1330556079
## [114,]  0.8109343836 -0.0744906829  0.525611419 -0.724544164  0.2928001118
## [115,]  1.6989983193  0.2889697648  0.580747364  0.065922053 -0.5144149776
## [116,] -0.2374686197  1.2887322457  0.673565647  0.620826656 -0.1856408041
## [117,]  0.8656125423 -0.6423756808  0.379169440 -0.454051005 -0.7442702200
## [118,] -0.5384903355 -0.4441595600 -0.224210212  1.318922104  0.2098020718
## [119,] -0.3552300797 -1.4745007896  0.838083505  0.467445375 -0.6716257921
## [120,]  0.3387541618 -0.6407139977 -0.198961684  0.689511369  1.2276216679
## [121,]  0.9136912900  0.2426837929 -0.602595371 -0.581945067 -0.7445689248
## [122,] -1.1391646868  0.1148555047  0.433621924 -0.820832543  0.6339637929
## [123,]  0.1651649186  0.7809959958  0.376483824 -0.884545536 -0.5064679539
## [124,] -0.7451062410  1.6588536662  0.946834768  1.341799538 -1.1139316268
## [125,]  0.8235605948  0.7164128606 -0.963286338  1.235061630  0.4581502578
## [126,] -1.2672067972 -0.0068735808  0.836256857  1.088810772  2.0241027825
## [127,] -0.0077115597 -1.4676015751  0.832255495 -0.458713706 -0.2460666886
## [128,] -0.3383763662 -0.2722116474 -0.024674611 -0.888835497  0.4888132531
## [129,]  0.7419381633 -0.1076489376  0.029390947  0.658058499 -0.0578570215
## [130,]  0.4638030231  0.5378067703 -0.038345799 -1.038889873 -0.2992065070
## [131,]  0.0945553526 -0.9337798477  0.063322004  0.148915534 -0.0602388136
## [132,]  1.2095806065 -0.6453998127  0.638445956  1.914751260 -0.3481466341
## [133,] -1.3843500914  0.8000989766 -0.537640722  0.703789691 -0.5316666565
## [134,] -0.0455328316  0.7556806541 -1.079006294 -0.041677733 -0.4355276635
## [135,]  0.0231238238  1.6988749691  0.703402459  0.445462885 -0.9924850506
## [136,]  1.7888091581  0.0585350854  0.594625140 -1.524956540 -1.0868101484
## [137,] -0.9717704657  0.6457854708  0.219401552  0.829861806  1.0510281059
## [138,]  1.1832826573 -1.0601524697 -0.796831970 -1.180393963  0.5788461576
## [139,] -0.0508669693  0.9429216129  1.951171888 -0.613932393 -2.0182766483
## [140,]  2.0870227677 -0.3011120027  1.238775379 -0.296857101  0.0855744387
## [141,] -1.4389026065 -0.8796265990  0.915326198  2.103435482 -0.2405369992
## [142,]  0.3051253884 -0.1952539981  0.443883211 -0.826697048 -0.4671736948
## [143,] -0.0369880082  0.3343112252 -1.030124644  0.345427832  0.6008144372
## [144,] -2.0400765567  0.5119759210  0.028013880  0.415284019 -0.3025763820
## [145,]  0.0930397639 -0.6174323406 -0.562455850 -0.263503826  2.0504662305
## [146,]  0.2528038411 -0.5038819253  0.087127034  0.383882144 -1.0715888920
## [147,] -0.8005831934 -0.1851281935  1.863196139 -0.131122830  1.2344499680
## [148,] -1.2396387560 -1.4756288359 -0.010519121 -1.086185872  0.6454765490
## [149,]  0.3454322958  0.6440632709 -0.738175847  0.337190365 -0.6142109170
## [150,]  1.0461288333 -0.3753863876  0.241411442  1.484269431 -0.7944864282
## [151,]  0.4209853126  1.5278721225 -0.687656836  0.474918495  0.5901247880
## [152,]  0.6397347854 -2.2017917867 -1.407752004 -0.261232284 -0.4801552665
## [153,]  0.2325984366 -0.3262884833 -0.732604948 -0.727790279 -0.4395895903
## [154,]  1.7338435668 -0.3562352562 -2.052488478 -0.296390537  0.0705721633
## [155,]  1.0210620303  0.3541803589 -0.677654700  1.131487179 -0.6532506045
## [156,] -0.0180242128  0.9453445750 -1.094053230 -0.793053986  0.9228261852
## [157,]  1.1350807495  0.1674140587  1.243957952  0.085922136  0.1750268486
## [158,]  0.4899893085 -1.1671787616 -0.681688653  0.926498219  0.7351731185
## [159,] -1.6011891275 -0.5675271901 -0.265382182 -0.912439898 -0.5072070942
## [160,]  0.8174613115 -0.2245479761 -0.686193244 -1.048232404  0.5737234783
## [161,] -1.1636492127 -1.7089218451 -0.983401957 -0.039235966 -0.0037856410
## [162,] -1.4764985239  0.7060534460  0.960802202  0.041287018 -0.2532281652
## [163,]  0.0123849297 -0.6225543814 -2.420133891  0.891850886 -1.4077121018
## [164,] -1.7770760442 -0.1299594593 -1.195363581 -0.588911094 -0.5208351046
## [165,] -0.2199517199  0.4277816483 -1.423403106  1.025766645  1.3378403183
## [166,]  0.2780319606  0.4388036958  1.903119075  0.301594364 -0.2373823573
## [167,]  0.6121603471 -0.6378332192 -0.319995207 -0.037338226  2.0790400840
## [168,] -0.7707938729  0.8283199021  0.772443060 -0.954741742  1.0728323789
## [169,] -1.2021527111 -2.3460650000  1.267380424 -2.135401657  0.9447027093
## [170,] -0.7205278287 -0.1291437145 -0.256494050  1.025728132  2.2676347800
## [171,] -1.0264924611 -1.6772936407  0.289434663 -0.132068480  1.1206742753
## [172,]  2.2782600232  0.0826961192  1.671016160  1.242534575  0.7115186472
## [173,]  0.8998145765 -2.0343515648  0.034489718  1.459591140  1.1109537286
## [174,] -0.6761343382  0.2146982763  0.387838889 -0.321613878 -1.5924299842
## [175,]  1.3497806076  0.3745604622 -0.878306889  0.414728710  0.9856275880
## [176,] -1.4501292141 -1.0857408632  0.157376686 -0.221442977 -0.4288626087
## [177,] -1.0214775390  1.1091632617  0.599886515 -0.021933204  0.5747927226
## [178,]  0.9320217107 -0.5867890683  0.201682913 -0.198283475 -1.1501934465
## [179,] -1.3591435209  0.0330178224 -1.051696479  0.291954748  0.9157083789
## [180,]  0.3486106719 -0.0599003018 -0.360551765  0.134912154 -1.1608604319
## [181,]  0.3677946878  0.0377246467 -0.962664974  0.559060480  0.7590612137
## [182,]  0.2758235097  0.0118436664 -0.480229844  0.049761629 -1.1341711040
## [183,] -0.9741297245  0.6021690226 -0.022182872 -0.999941633  0.5033614307
## [184,] -0.1010498318  1.2385747039 -0.937122001 -0.619518881 -1.2081725818
## [185,]  0.3706486873  0.7600695114 -0.861416151  0.154897374 -0.6289121694
## [186,]  1.5819467904  0.6204102094 -0.733805428  1.484436263 -1.5236970667
## [187,]  0.7652837924  0.4368488852 -1.076046923 -0.420415389  0.5967887802
## [188,]  1.2777193864 -1.2604820337 -0.557196949  0.016967831 -0.2540919744
## [189,]  0.8515111665  0.4899797137 -0.268220706  0.182423727  0.1965403010
## [190,]  0.7538761858 -0.4793833475 -1.430310635  0.854569132  0.1975468785
## [191,]  1.3256558842  0.4895357181 -0.900549936 -0.719720641 -0.6862211995
## [192,] -0.8281213472 -0.8545482639 -0.306147756  0.460734554  0.3932732045
## [193,]  0.1138488915 -0.4218965365  0.558712757  1.083030456 -0.0679257010
## [194,]  1.0918867660 -0.4414858098 -0.867641233 -0.154848657 -0.2057153022
## [195,] -0.0361418701  1.1940454863 -0.056101725 -0.572886618  1.2842161588
## [196,]  1.7467046384  0.4230309211  1.925306225 -0.928240235 -0.3631585981
## [197,] -0.4171954059  1.9082983690  1.570395017 -0.118208163  2.1876612889
## [198,]  1.3136000892 -1.0284662359  0.796197497 -1.683831453  0.0492111750
## [199,]  0.0235462607  2.2138935840 -0.205790580  1.454668455 -0.6216761071
## [200,] -1.9391008388 -1.5916732020 -1.358576237  0.258672413 -1.3882423287
## [201,]  0.5061086374 -2.2539731423 -0.817921519 -1.074066868 -0.7613814886
## [202,] -1.5006946642  0.5518371759  0.175508173 -0.071826492  1.4188995711
## [203,] -0.6275023585  0.5611925357 -1.548379259 -0.992608594 -1.7591623977
## [204,] -0.6194051296  0.5711016494  1.141953344  0.694678859 -0.3218729187
## [205,] -0.9273606014  2.1383255449 -1.425359927 -0.932253579 -0.1262317369
## [206,]  1.5353342036 -0.8566145090 -0.870725157 -1.469063084  1.4447359764
## [207,]  0.2843473182  2.3606655844  0.276786804  1.619469616  0.5927392689
## [208,]  2.1082846487  0.0794758735 -0.565386610  0.756200838 -0.1403342114
## [209,]  1.6773717584  0.0450418316 -0.809086210  0.807831385  1.3302258702
## [210,]  0.6991278108 -0.0095894399  0.179769365  0.836207202 -0.7043745674
## [211,]  1.2541072676 -0.8600370530  0.744939979  2.134547447 -1.2090722109
## [212,] -1.2882696167  1.1553962021 -0.476224826 -0.669127906  0.3736588436
## [213,] -0.7026680506 -0.6172392913  0.108360098  0.480835278  0.0133481689
## [214,] -0.3097785811  0.0864806846 -0.407527603 -1.022680111  0.4325845747
## [215,]  0.3030799705  0.1932021189 -0.391930040  0.002912519  0.4835420076
## [216,]  0.0884210532  0.2639798854  0.060627755 -1.184750704 -0.0865438470
## [217,] -0.5076065148  0.8397193769 -0.672936226 -0.646734882 -0.5770894616
## [218,] -1.9000416601 -0.6517011170  0.235922306  0.709875493 -0.6982881326
## [219,] -0.3537816061  0.8331990739 -0.634960319  0.992090639  0.6400768789
## [220,] -0.1420316905  1.5292124380 -0.488210514 -0.825313721  1.2978894992
## [221,] -2.7715548775 -1.1711189217 -0.224810404 -1.292249361  0.1126633235
## [222,]  0.9478196676 -0.5524772989 -0.253200914 -0.863825131  0.5535381578
## [223,] -0.3074748126  0.0308155105 -2.454120724 -0.296762847 -0.6126684205
## [224,] -1.0298320649  1.0206780718  0.855237899  0.215226261 -0.5046193620
## [225,] -1.2212535442 -1.9376653665 -1.617638308  0.884574081 -0.6814473948
## [226,] -1.7503323526 -0.6239726748 -0.629460887 -0.312870598 -0.4785053719
## [227,] -0.0392305174  0.2615016712 -1.130505607  1.396462056  1.2579694919
## [228,]  0.2225209433  0.8615858150  1.402180848  0.064659209 -0.2595934931
## [229,]  0.7412912740 -0.8531850969 -0.013240528  0.088707514  2.0467880852
## [230,] -0.7891935436  0.5454448937  1.084975113 -0.692704938  1.1037826112
## [231,] -0.2848528400  0.0915404055 -0.959288153 -2.908879872  0.2430427710
## [232,]  0.3190198692  0.8987541821 -0.848630395  0.972090818  1.6721437422
## [233,] -0.3048533945 -0.8294496564 -0.274188663 -0.289207469  0.6960047812
## [234,]  2.2580891391 -0.3672360792  2.171436426  1.635181116  0.7586462447
## [235,]  2.2292543596 -0.0922318122 -1.411306251  1.281549337  0.2631799499
## [236,] -0.3527796009  0.1126639646  0.675632513 -0.094287409 -1.7323666455
## [237,] -0.0255121956 -0.9127629007 -0.187010389  0.243044661  1.7805492648
## [238,] -1.2341259405 -1.2470149473  0.454072898 -0.011152504 -0.5126806365
## [239,] -1.2742061293 -0.8500378489  2.645838204  0.780696755  0.9179201758
## [240,]  1.5845528807  0.3445231282 -0.272478651  1.454825603 -0.6233202025
## [241,] -1.1153339245  0.9284920103 -1.425772808  0.817089168 -0.3921075456
## [242,]  0.1514350674 -0.0946406719 -0.023153129  0.525905682 -0.4341328443
## [243,]  0.1200518159  2.0631355943 -0.104296840 -0.338243733 -1.3731108572
## [244,]  0.2027959021 -0.0849401635  1.463003500 -1.950875326 -0.9218141608
## [245,] -0.7978352078  1.1938858224 -0.299961432  0.614450844  0.9101726144
## [246,]  0.7396572613 -1.8187328378 -0.722086197 -1.493394128  0.4645379441
## [247,] -0.2925104736  1.7654731385  0.900472570 -1.224373692 -1.9931934779
## [248,]  1.5528942911 -0.3823914320  1.036454458 -0.647625094  0.3524471733
## [249,] -1.3878602134  0.1146013481 -0.164370679  1.656090276 -0.3786438121
## [250,]  0.8920970829 -0.2471013297 -1.020127228 -0.368418686 -0.1360227207
## [251,]  0.5619597323  0.8961292302 -1.334701366  0.379131211  0.2574922605
## [252,] -1.9119232499  0.6272419580 -0.040167086  0.267890918 -0.3638157824
## [253,] -0.6003662352 -0.0860071646  0.036601334 -0.492122827  1.7173048359
## [254,] -0.0075139193 -0.5445206700 -0.012862474  0.166851359 -0.9379488813
## [255,] -0.3317993324  1.3861884739  0.366675439 -0.608606841  0.8330237465
## [256,] -0.1633623299  0.3209166774 -1.432590791 -1.371786484 -0.0640701133
## [257,] -0.2232857151 -0.2414764424 -0.056790620  0.475449978 -0.2479260376
## [258,]  0.6025818559 -0.2811734954 -0.100457057  1.230327282 -0.5999538620
## [259,]  0.4170038534  1.6903016657 -0.874392374  0.326717780  0.5784111216
## [260,]  0.0002427880 -2.7793829806 -1.102881662 -0.225616264 -0.1222536990
## [261,]  0.1823409035 -1.1936153031  0.214544196 -0.186836394 -0.3278446880
## [262,] -1.2715304280 -2.7286452138 -0.103067971  0.538373097  0.3577129850
## [263,]  1.4670339885  0.0560863487  1.649570038  0.463640188 -0.2575170414
## [264,] -1.2367743349  0.6690005850  0.825026937  0.357533884  0.3547903089
## [265,]  1.1603304648  0.2564488286 -0.466493609 -0.784972182 -0.9809742273
## [266,] -0.7338553859 -0.0482649295 -0.773772879  0.957953335  0.2606999512
## [267,]  0.8889099300 -0.7066213845 -0.312820562  0.509747636 -0.7811957618
## [268,] -0.5705395526  0.5542518386 -0.472892785  0.313815624  0.5342072708
## [269,] -0.8512332042 -0.4827810745  1.036359939  0.228757735 -1.1577294509
## [270,] -0.3740756655  0.0417266096  0.932044033 -0.273332092  0.2768452963
## [271,]  0.4032019324  0.2527873889 -1.136724346 -0.363677374 -0.7277646423
## [272,] -0.0441355087  0.0294030664 -0.262150079  0.441155012 -0.3627821102
## [273,]  0.3577792653 -0.4086229346 -0.083707788  1.279164475 -0.4796391971
## [274,] -1.5531806436 -0.3803915162  0.949686923  0.343125451  0.2926302275
## [275,] -0.8756634804  0.4962594512  1.171716745  0.439440455 -0.5907452008
## [276,] -0.0669921990  0.2226560485 -0.428683876 -0.958918591  0.3034629867
## [277,] -0.3019960188  0.7735920022  0.079229910  0.654463086  0.3520907959
## [278,]  0.4308091328  1.8659576704 -1.545778625 -1.887880264 -0.4217303502
## [279,] -0.7519674960  1.2586366080 -1.278552065 -1.119937175 -0.5003505269
## [280,]  0.5227459304 -1.1517873688  0.828307407  1.701901555  0.0377575323
## [281,] -1.2891964728  0.7268513687 -0.413380030  0.633575030 -0.5561705670
## [282,]  0.0072723101  0.1177275082 -0.650013848  0.271424375  0.5749921706
## [283,]  1.3745317270 -1.0682943337  1.842989199 -0.939231198  1.3300725948
## [284,]  0.3001583816 -0.6476922795  1.653718382 -1.711975445  0.7720718709
## [285,]  0.0608953430 -0.0522280140 -0.057624847 -0.829450762  0.2804388426
## [286,] -0.3793650617 -0.7280509615  0.123139185  0.461371200  0.5299479216
## [287,]  0.4851285995  0.5384871928 -0.034959347 -1.162760972 -0.2992416890
## [288,]  0.7206171053 -0.5881867306  0.011350392  0.249568814 -0.3876300550
## [289,]  1.2655471357 -0.6204720310  0.636573907  1.855271946 -0.3714336955
## [290,] -1.6098224177  0.6667855015 -0.514808749  0.565964376 -0.4048883452
## [291,]  0.3830414208  1.0109341013 -1.123266595  0.241569021 -0.6783633899
## [292,] -0.6782178362  1.3000455823  0.767054107  0.198642605 -0.6140196286
## [293,]  1.6844910775 -0.0002079914  0.603823492 -1.555022296 -1.0310973402
## [294,] -1.1399821131  0.5706408517  0.225131480  1.006080236  1.1212419211
## [295,]  1.2939157922 -1.0000212360 -0.805579220 -1.173390048  0.5219335656
## [296,] -1.5209166720  0.1111558629  2.082635517 -1.083053578 -1.2292044177
## [297,]  1.7354934370 -0.5086166346  1.274213378 -0.507815962  0.2828894521
## [298,] -1.7703871607 -1.0686169716  0.945636813  1.981196497 -0.0611704156
## [299,]  0.6019869525 -0.0363752051  0.421560655 -0.836265536 -0.6174102949
## [300,]  0.4477745716  0.6016858070 -1.070264315  0.420841396  0.3475341540
## [301,] -1.7409282983  0.6768220842  0.003313970  0.460084373 -0.4587245723
## [302,]  1.0154864475 -0.0985800207 -0.643518629 -0.004429237  1.5584108132
## [303,]  0.4923718799 -0.3707895537  0.066845323  0.432132091 -1.1977180848
## [304,] -0.8242134745 -0.2005517233  1.866263998 -0.162230166  1.2491918924
## [305,] -0.5806708637 -1.0993056715 -0.071064434 -0.836025698  0.2882833788
## [306,] -0.5943934264  0.1107253930 -0.653395882  0.019173765 -0.1081640853
## [307,]  0.5500102538 -0.6588696646  0.287068731  1.294093947 -0.5254052273
## [308,]  0.4272639574  1.5292324864 -0.687199135  0.451762489  0.5889517563
## [309,]  0.5268382605 -2.2511204799 -1.404420153 -0.130277486 -0.4341384337
##                PC11          PC12         PC13         PC14          PC15
##   [1,]  0.420523565  0.4334820544  0.016896184  0.568431041  0.4383575733
##   [2,]  0.462308125  0.3986804449 -0.218844308  0.061830934 -2.0687208915
##   [3,] -1.315721292 -0.6118901582 -1.234182675  0.374500028  0.7773050725
##   [4,] -0.036031283 -0.2638657935 -0.338447239  0.010300783  0.5421504516
##   [5,] -0.912182701 -0.4352120930 -1.415924824  0.029107293  0.2282780957
##   [6,]  0.006675664  1.2983623838 -0.206751142 -0.234096001 -0.6232337130
##   [7,] -0.681612182 -0.4367979407  0.627895778 -0.126860747  0.5778337358
##   [8,]  1.570297126 -0.3494589711 -0.224076737  0.307935702 -0.1791024816
##   [9,]  0.588029356  1.3889527245  0.379929206  0.698899496  0.2331253689
##  [10,]  0.013843135 -0.3935900740  0.183078896 -0.531951622 -0.0795574606
##  [11,] -0.393455043 -0.8581065623  0.256269265 -0.857916040  0.0129291768
##  [12,]  0.012211427  0.7468853985  0.391100484  0.158685593 -0.2626260427
##  [13,]  0.249502857  0.0929055090 -0.044637030  0.616334219 -0.0808919597
##  [14,]  0.108202924  0.0621200579 -0.074766804 -0.009759719  0.1656639689
##  [15,] -0.894184802  0.6667391909 -0.134044309  0.395128230 -0.5965953711
##  [16,]  0.908454725 -0.2179462237  0.185976081 -0.004498742 -0.4711337983
##  [17,] -0.992433913 -0.7479697500 -0.485089739 -0.584556336 -0.1028938720
##  [18,] -0.796874258 -0.9948424816  0.538850685 -0.867448372  0.4749865902
##  [19,] -0.844001807 -0.4463708756  1.628548810 -0.604924292  0.2536040792
##  [20,]  0.320441162  0.1598941284 -0.096108696  0.385799068 -0.0495534724
##  [21,]  0.467789803 -1.2219438435  0.249408139 -0.731181079  0.4061416274
##  [22,]  0.411759401 -0.2953011717 -1.528031755  0.251766287 -0.3967280920
##  [23,]  0.951863976 -0.0769681900 -0.219517073  0.120893372 -0.3421600285
##  [24,]  0.095539826  0.0651550583  0.029651045 -0.012197733  0.1471579650
##  [25,] -0.734840381 -0.7561054781 -0.278001541 -1.273542765  0.0662511665
##  [26,]  0.494253801  0.0829017276 -0.087042222  0.335995178  0.6686192208
##  [27,]  1.219675724  0.3473208400 -0.118633159  1.409979591  1.0286389588
##  [28,] -1.041488146 -0.2161509584 -0.829347522 -0.448322267 -0.2646588750
##  [29,] -0.837946225  0.2926483701  0.133017998  1.000956763  0.8888048793
##  [30,]  0.404992386  0.1465291483  0.689510060 -0.526647777  0.4152453066
##  [31,] -0.863377283  0.8313440043  0.490013777  1.143399608 -0.8880189012
##  [32,]  1.135636716 -0.4148927197 -1.304990553  0.638676216  0.2022641052
##  [33,]  0.828808911 -0.6314252501 -0.319879928 -0.179981187 -0.9960511402
##  [34,] -1.045951865  0.0668733975 -0.398041733  0.851525389 -0.2799188786
##  [35,]  0.009148572  0.9825179146 -0.693330830  0.687387035 -0.9228988259
##  [36,]  0.003684991 -0.4452323697  0.131529168  0.435770915 -0.5539587221
##  [37,] -1.864892347 -0.2768934238 -1.318510710 -1.321186730 -0.2473171349
##  [38,] -0.021480573 -0.3037972350 -0.919328509  1.015139336 -1.1288114460
##  [39,] -1.480099028  0.0080071951 -0.864049795 -0.975689884 -0.4962413909
##  [40,] -1.149182018  0.1416856598 -0.300607468 -0.552503014 -0.3531137163
##  [41,]  0.806124346 -0.1179494334  0.638998799  0.611840391  0.4739033034
##  [42,]  2.023023934 -0.1990796775 -0.721549002 -0.445591628 -0.3057797375
##  [43,]  0.118601406  1.1488752332  1.127125769 -0.819164504  2.0210436648
##  [44,]  0.370000163 -0.3286131012 -0.391529217 -0.756123983  0.9131450099
##  [45,] -1.614973464 -1.2134306509  1.337189896  0.479254455 -0.7940825244
##  [46,] -0.822660699 -0.5381476425  1.351054267 -0.871938739  0.2867008044
##  [47,] -0.825820015 -1.4698517789 -1.565778171 -0.912485003 -1.6294596013
##  [48,] -1.665852215  0.3708029720  0.525802391  0.726885898  0.2313883640
##  [49,]  1.008512627 -0.1394632519 -0.443699967  0.933724085  1.2044084929
##  [50,]  0.400890266 -0.8467778863  1.276292343 -0.515240987  0.6590492803
##  [51,] -0.203704842  0.7304241801 -0.305652649  0.014290211  1.4018728347
##  [52,]  1.318968269  1.2676593358 -0.089367897 -2.200932157 -0.0105380974
##  [53,] -0.471740318  0.0747768687  0.312992783  1.462436004 -0.3283840429
##  [54,] -0.248509625 -0.7626119578  1.151848027  0.102037854 -1.1656168492
##  [55,]  0.059631997 -0.3422837836  0.631467132 -0.430910715  0.7213219035
##  [56,]  1.187959690 -0.3529930654  0.325920926 -0.635921694 -0.3963700610
##  [57,] -1.516700646 -0.5463492685 -0.689798999  0.290699987  0.6539578856
##  [58,]  0.063045575 -1.5632941214 -0.689317295  0.965257941 -1.1668081449
##  [59,] -0.585555242  0.3180404088 -0.613800091 -1.021079901 -0.7911169580
##  [60,]  0.168377749 -0.6514696533  0.427877290 -0.691209791  1.1214395016
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## [250,]  0.891226655  1.8559091541  1.012247198  0.055194895 -0.9096856467
## [251,]  1.865768690 -0.2969116509 -0.060634134 -0.875628676 -0.9524645024
## [252,] -0.460426027 -0.7028922394 -1.480131889 -0.915330523  0.4818986921
## [253,]  0.383069666  0.0729546428  0.084302734  0.102023258 -0.1799652501
## [254,] -0.073701024 -0.5385788237 -0.284734897 -0.129813506  0.0242731252
## [255,] -0.316718368  1.3263872034  0.646147689 -0.380331569 -0.1411549227
## [256,] -0.020055754 -1.7066672359  1.308291456  1.314337165 -0.4218148172
## [257,]  0.099230582  0.0633414172 -0.089809685 -0.030062396  0.1705910065
## [258,] -0.814719325  0.3554712920 -0.482169057  0.167179178 -0.3464488494
## [259,]  0.827465657 -0.2784515308  0.408041681  0.443426503  0.6190726633
## [260,]  1.969911006  0.1981480175 -0.131559676 -0.025757074 -0.6685676214
## [261,]  0.120692741  1.5520772439  1.851214993 -0.252163607  1.6108503758
## [262,]  0.382435126 -0.0915046435  0.031776181 -0.399960814  0.6689254912
## [263,] -1.094660807  0.5313274642 -0.723942851  0.793217363 -0.4923627949
## [264,]  0.077558875  1.0730493255 -0.864140025 -0.451585611 -0.3669914933
## [265,] -0.792476333 -0.1982225738  0.358157169 -0.161823863  0.5066678723
## [266,]  1.553818534 -0.4152766906 -0.754771835  0.100342799 -0.0263940820
## [267,]  0.786240415  0.5920760463 -0.296554785  0.146965215  0.8331283743
## [268,] -0.077097448 -0.1064969348  0.735943782 -0.312441464 -0.3501374412
## [269,] -0.507108198 -0.1399924983  1.449425933 -0.110453136 -0.6621996038
## [270,]  0.040436218  0.8904793243  1.394424602  0.565017503 -0.5631495248
## [271,]  0.271097474 -0.1892803429 -0.938504400  0.190741482  0.2747592430
## [272,]  0.074050682  0.1269508821 -0.024944975 -0.003253330  0.1234850640
## [273,] -0.931853006  1.0078033725  0.209204840  0.739747383 -0.8785993809
## [274,]  0.836197278  0.0005452163 -0.200324353 -0.003385652 -0.5181722760
## [275,] -0.841050307 -1.1692393307 -0.517406569 -0.715403414  0.1361235206
## [276,] -0.983023515 -0.1041939949  1.271501292 -0.181852971 -0.2020560780
## [277,] -0.801581787 -0.5012883274  1.399310331 -0.619467237  0.3217333923
## [278,]  0.235167642  0.0761654172 -0.868124389 -0.030755816  0.1837052038
## [279,]  0.259645931 -0.7659212831 -0.171331327 -0.771443767  0.2503776820
## [280,]  0.386626612  0.0020122656 -1.394599751  0.535355543 -0.6125133511
## [281,]  0.802480244 -0.1790725087 -0.588888791 -0.368026445 -0.1555218514
## [282,]  0.482401592  0.8485498995 -0.439878351  0.187371367 -0.9810781952
## [283,]  0.133037414  0.6534827324 -1.212225499  0.499259150 -0.6413672907
## [284,]  0.406502194  0.7165172399  0.480778116  0.925558289  0.1639291407
## [285,] -0.857974639 -0.6741941727  0.840754566 -0.600815722  0.2219338890
## [286,]  0.038978935 -0.7220043659  0.586611893  0.752720450 -0.5492553667
## [287,]  0.400500823 -0.3586637134 -0.511835579 -0.069931664  0.3513372646
## [288,]  0.822793804 -1.1842067114 -0.215174410 -0.208041555  0.5787408975
## [289,]  0.367378840  0.0070424388 -1.070586440  0.564778180 -0.6732674459
## [290,]  0.707731574  0.3200376804 -0.202871587  0.031149299 -0.5331046573
## [291,] -0.081437579  0.6813613159  0.423020726  0.339802365 -0.2840377311
## [292,] -0.448238235  0.5883060329  0.080163844 -0.336205536 -0.5854681151
## [293,]  1.782082642 -0.8786251058  0.424369024  0.453352217  0.1686013563
## [294,]  0.262999653  2.5161366718  0.184353081  1.516995025 -0.0388854969
## [295,] -1.028991209 -0.2410878726 -0.813808730 -0.445286831 -0.2550268203
## [296,] -0.767768447 -0.1184498761 -0.336592138  0.625874697  1.2319341578
## [297,]  0.424298678 -0.1658003787  0.354749610 -0.877756151  0.6822191559
## [298,] -0.583145614 -0.3361529386  0.012495691 -1.390367906 -0.1025393108
## [299,] -0.021967799 -0.5455360842 -0.094936125 -0.461983720  1.6215068235
## [300,]  1.938133198 -0.6013023488 -0.357609883 -1.101025575 -0.7146842916
## [301,] -0.568533563 -0.1138279703 -0.613242911 -0.355154778 -0.0453825308
## [302,]  0.737361526  0.1736037657 -0.361233504  0.692900730 -0.0526630204
## [303,] -0.126718864 -0.2544281997  0.408186660  0.192943852 -0.2835720653
## [304,] -0.061479981  0.4313114021  0.099934079 -0.890448988  0.4808252877
## [305,]  0.093734175 -1.8826517649  1.632717238  1.431294242 -0.4038404559
## [306,]  0.087368328 -0.0350587299 -0.772962725 -0.292136488  0.3733408245
## [307,] -0.674268055 -0.2830235204 -1.093907597 -0.326910311  0.1536629841
## [308,]  0.814679485 -0.1524666351  0.681117266  0.601996141  0.4859256479
## [309,]  1.875453301  0.5883067607  0.490080068  0.307284192 -1.0199760971
##                PC16         PC17
##   [1,] -0.204699168  0.399778790
##   [2,]  0.045288943  0.292915024
##   [3,] -0.271595154 -0.814045516
##   [4,] -0.371673537  1.078203419
##   [5,]  0.734034423  0.516096799
##   [6,]  0.370839736  0.464690533
##   [7,] -0.322143489  0.050306784
##   [8,]  0.531051672  0.194644777
##   [9,] -1.124665269 -0.473960208
##  [10,]  0.076492553  0.033336741
##  [11,] -0.534141622 -0.128982341
##  [12,]  0.084037407 -0.456830857
##  [13,]  0.189629446  0.456895464
##  [14,] -0.016716439 -0.021511422
##  [15,]  0.006422442 -0.329564249
##  [16,] -0.225723824 -0.788232416
##  [17,]  0.487690414 -0.355745563
##  [18,] -0.216253994  0.281111017
##  [19,] -0.357368372 -0.574817902
##  [20,] -0.121585264  0.153361961
##  [21,] -0.325279346  0.341539699
##  [22,] -0.249217026 -0.517074387
##  [23,] -0.474336582  0.001382573
##  [24,]  0.020601136 -0.029383874
##  [25,] -0.421748563 -0.176386698
##  [26,] -0.375057468  0.459319241
##  [27,]  0.157050749  1.283191589
##  [28,]  0.172160415 -1.177121386
##  [29,]  0.840632915  0.308201578
##  [30,]  0.546906491  0.990041317
##  [31,]  1.833637726  0.602301402
##  [32,]  0.899009190 -0.685671003
##  [33,]  0.778795299  0.192681525
##  [34,]  0.282663097  0.192190653
##  [35,] -0.281726780 -0.102251797
##  [36,]  0.404702630  0.315448071
##  [37,]  0.252701007 -0.080408534
##  [38,]  0.835870432 -0.173405499
##  [39,]  0.794453324 -0.901139864
##  [40,] -0.664108490 -0.302257112
##  [41,] -0.699334673 -0.772619337
##  [42,]  0.302214498  0.526431365
##  [43,]  0.215644055  0.008363015
##  [44,]  1.218170500 -0.374050417
##  [45,] -0.107189826  1.558186080
##  [46,] -0.014697978 -0.110994738
##  [47,] -0.314501834  1.085094010
##  [48,] -0.453323188  1.568209576
##  [49,]  0.371135730 -0.880906339
##  [50,]  0.038378647 -1.504845090
##  [51,] -0.190277899 -0.215343711
##  [52,]  0.571180847 -0.485102183
##  [53,] -0.795216391  0.307609636
##  [54,]  0.101171607 -0.457206584
##  [55,] -0.836682394  1.227393045
##  [56,] -0.761838666  0.044936466
##  [57,] -0.093377912  0.519556971
##  [58,] -0.085545972  0.334201010
##  [59,]  0.820792154  0.214839663
##  [60,]  0.108966172 -0.162975362
##  [61,] -0.542958636  1.037635542
##  [62,] -1.090814185 -0.173869707
##  [63,]  0.397950756  0.601928262
##  [64,] -0.286457614 -0.316048608
##  [65,]  1.423427877  0.100505316
##  [66,] -1.311470262 -0.340525215
##  [67,] -0.360979053  0.384060109
##  [68,]  0.046545960  0.364930671
##  [69,]  0.851869088  0.039331283
##  [70,]  0.125575693  0.027204718
##  [71,]  0.339668208  0.511883358
##  [72,]  0.135095885 -0.227962988
##  [73,] -0.161028009 -0.359990351
##  [74,] -0.151488592  0.364242693
##  [75,]  0.032547772 -0.019961277
##  [76,] -0.125258951 -0.040086038
##  [77,] -0.314385878 -0.543428311
##  [78,] -0.335717440  0.228175597
##  [79,]  0.400994735 -0.072763914
##  [80,] -0.528254127  0.151448992
##  [81,]  0.139513375  0.283297565
##  [82,] -0.005952746  0.259756203
##  [83,]  0.220449326  0.205910512
##  [84,]  0.821389639 -0.280463409
##  [85,] -0.616768168 -0.143967535
##  [86,]  0.587250538  0.095098054
##  [87,] -0.057818756 -0.333248457
##  [88,] -0.618241629  0.030801222
##  [89,]  0.262114853  0.284029297
##  [90,] -0.441595058  0.570186068
##  [91,]  0.546853402  0.247395413
##  [92,] -0.954452414 -0.237225566
##  [93,] -0.690367526  0.648356547
##  [94,]  1.196418062 -0.755162981
##  [95,] -1.025634831  0.626103061
##  [96,] -0.491732734 -0.231372581
##  [97,]  0.162249355  0.180426095
##  [98,]  0.601243917 -0.104024116
##  [99,] -1.217306954 -0.042251874
## [100,]  0.210795257 -0.266528766
## [101,]  0.009178791 -0.140306083
## [102,] -0.239832184 -0.505299089
## [103,] -0.001081145  0.061331010
## [104,]  0.225753874  0.024185581
## [105,] -0.423907862  0.044826848
## [106,] -0.049813183  0.066391359
## [107,]  0.144666199  0.249381777
## [108,]  0.288291683  0.147150980
## [109,]  0.683932546 -0.766405649
## [110,] -0.165238363  0.413606088
## [111,] -0.311500803  0.275308649
## [112,]  0.470357058  0.841243335
## [113,]  0.222169322 -1.078565979
## [114,] -0.168079224  0.872922772
## [115,]  0.877633521  1.155793976
## [116,]  0.248481964  0.515447773
## [117,] -0.215599949  0.058770936
## [118,]  0.514993586  0.210590031
## [119,] -0.226150793 -0.086942561
## [120,]  0.289380434  0.313280968
## [121,]  0.215127207 -0.235851294
## [122,]  0.018379895 -0.540713487
## [123,] -0.445011923 -1.187395940
## [124,] -0.197477228  0.266806473
## [125,] -0.289242777 -0.037798448
## [126,] -0.565139828 -0.738008042
## [127,] -0.159623044 -0.074763111
## [128,]  0.075685920  0.058279950
## [129,] -0.639909303  0.323712286
## [130,]  0.029766279  0.032157735
## [131,]  0.251431807  0.393080370
## [132,]  0.099890861 -0.888438144
## [133,]  0.278208194  0.028194637
## [134,] -0.035768643  0.342225755
## [135,] -0.465900314 -0.053961025
## [136,] -0.579918745 -0.349760333
## [137,]  0.000772863  0.151658109
## [138,]  0.209223668 -1.243826974
## [139,]  0.869070173  0.233877079
## [140,]  0.805399365  0.872283165
## [141,]  0.341425105  0.022592252
## [142,] -0.684397168 -0.936264140
## [143,]  0.869141848 -0.006288726
## [144,] -0.404210072 -0.522821842
## [145,]  0.676296036 -0.021386986
## [146,]  0.152334617 -0.236617040
## [147,]  0.100548266  0.546407053
## [148,] -0.614292886  0.646342147
## [149,]  0.157997524  0.030636773
## [150,] -0.396764299 -0.190573406
## [151,] -0.644069677 -0.846298375
## [152,]  0.284353292  0.503158969
## [153,]  0.173424869  0.019842343
## [154,]  0.044405912 -0.388242074
## [155,]  0.824834606  0.325438074
## [156,]  0.121962865 -0.861216712
## [157,] -0.442513188  0.702610115
## [158,]  0.793495320  0.334082201
## [159,]  0.447669504 -1.216843843
## [160,]  0.090886418 -1.371108370
## [161,] -0.438017503  0.002962693
## [162,]  0.541409695 -0.450589729
## [163,] -0.820401346  0.677621810
## [164,]  0.226252313 -0.216161914
## [165,] -0.677481397  1.415588471
## [166,] -0.583691233  0.119191040
## [167,]  0.293109180  0.174793193
## [168,] -0.203669862  0.239594626
## [169,]  0.743351273  0.219123542
## [170,]  0.130802257 -0.400058587
## [171,] -0.410579567  0.611738612
## [172,] -1.026212619 -0.272878294
## [173,]  0.242101208  0.488238862
## [174,] -0.288948646 -0.279987488
## [175,]  1.601354083 -0.114113845
## [176,] -1.520591312 -0.365248874
## [177,] -0.085103098  0.421068268
## [178,]  0.047903515  0.346408715
## [179,]  0.290577969  0.257721538
## [180,]  0.058594121 -0.016260362
## [181,]  0.351179366  0.395519794
## [182,]  0.067019098  0.018984832
## [183,]  0.069867765 -0.454941763
## [184,]  0.068081891  0.334040887
## [185,] -0.180412417  0.376233283
## [186,] -0.039127144  0.230944364
## [187,] -0.461598407 -0.299418857
## [188,] -0.863571623  0.415674312
## [189,]  0.164826381 -0.745791996
## [190,]  0.055938829 -0.226902271
## [191,] -1.130935409  0.447494847
## [192,] -0.780931794 -0.127862513
## [193,] -0.218573295 -0.492468351
## [194,] -0.164408869 -0.368908455
## [195,] -0.723395579  0.067538846
## [196,]  0.685196206  0.204171257
## [197,]  0.169355098 -0.549958598
## [198,] -0.769993878  0.122808536
## [199,]  0.128325234  0.614367708
## [200,] -0.115885447  0.264880595
## [201,]  0.569809145  0.268030342
## [202,] -1.012129894 -0.350160623
## [203,] -0.449618464  0.852052206
## [204,]  1.060227957 -0.534824136
## [205,] -0.614394865  0.846168128
## [206,] -0.773683331  0.063697140
## [207,]  0.510641502  0.044842721
## [208,]  0.539028601 -0.851370448
## [209,] -1.093386790 -0.122726928
## [210,] -0.155246654  0.001096426
## [211,] -0.194613598 -0.072297240
## [212,] -0.321072705 -0.504598778
## [213,]  0.179998006 -0.184224234
## [214,]  0.259444768  0.009943970
## [215,] -0.780618138  0.139516314
## [216,] -0.198320989  0.234820841
## [217,]  0.268641865  0.234126153
## [218,]  0.453731649 -0.077289733
## [219,]  1.088579218 -0.729502626
## [220,] -0.676442863  0.168806418
## [221,]  0.347355852 -1.056801166
## [222,] -0.165990170 -1.283069689
## [223,]  0.332638512 -0.293672149
## [224,]  0.795452124 -0.679781217
## [225,] -0.988260241  0.662611902
## [226,]  0.110787399 -0.291810588
## [227,] -0.252893278  0.923464117
## [228,] -0.433616613  0.144755671
## [229,]  0.066773967  0.275017663
## [230,]  0.063241523 -0.101200129
## [231,]  1.179012497  0.462607684
## [232,] -0.019352945 -0.148293626
## [233,] -0.615282088  0.926318797
## [234,] -0.681058673 -0.744278153
## [235,]  0.786713435  0.356755296
## [236,] -0.374744887 -0.315348333
## [237,]  1.269945960  0.064941224
## [238,] -1.574325649 -0.425168932
## [239,] -0.740202720  0.388446323
## [240,] -0.117226699 -0.428558305
## [241,]  0.955826543 -0.268608022
## [242,] -0.232986784  0.174246513
## [243,] -0.030911579 -0.178010067
## [244,] -1.116037385 -0.443587411
## [245,]  0.040368748  0.267750892
## [246,]  1.404264474 -1.478292614
## [247,]  0.978839680  0.483021714
## [248,]  0.603511293  1.157426119
## [249,]  0.692486224  0.040663628
## [250,] -0.722358199 -0.980492359
## [251,]  0.905558470  0.015177064
## [252,] -0.818092266 -0.133033980
## [253,]  0.321527445 -0.257408901
## [254,] -0.070998352  0.016638914
## [255,]  0.637360258  0.497985009
## [256,] -0.183950774  0.629102932
## [257,]  0.001359994 -0.002573657
## [258,] -0.199281757 -0.231513525
## [259,] -0.767591488 -0.674397629
## [260,]  0.473512663  0.278870895
## [261,]  0.279643315 -0.373044027
## [262,]  1.231233143 -0.616917441
## [263,]  1.196629303  0.206480172
## [264,]  0.154833871  0.622433628
## [265,] -0.106378218  0.206223917
## [266,]  0.516903811  0.396282048
## [267,] -1.619758037 -0.272082445
## [268,]  0.326323508 -0.089511243
## [269,] -0.174273385 -0.580481396
## [270,]  0.117172450 -0.841650045
## [271,]  0.058390380  0.788983893
## [272,]  0.062226434 -0.005549539
## [273,]  0.120922819 -0.511551264
## [274,] -0.104788706 -0.658045736
## [275,]  0.155305470 -0.417142635
## [276,]  0.258037515  0.001018338
## [277,] -0.471111047 -0.560894424
## [278,] -0.009003091  0.546602298
## [279,]  0.087872999  0.607421705
## [280,] -0.181710770 -0.644080424
## [281,] -0.184704565  0.404085944
## [282,]  0.381975583 -0.300021491
## [283,] -0.599984450 -0.026298504
## [284,] -0.130302106  0.170677295
## [285,] -0.054769022  0.159784347
## [286,] -0.357835410  0.115076387
## [287,] -0.335197519  0.362168104
## [288,]  0.068117172  0.532982330
## [289,] -0.109459288 -0.700975579
## [290,]  0.057996353  0.237331002
## [291,]  0.442745185 -0.109642684
## [292,] -0.638324403  0.131842402
## [293,] -0.586836031 -0.339105240
## [294,]  0.622801658 -0.405256743
## [295,]  0.146444590 -1.191554915
## [296,]  0.643560584  0.500112321
## [297,]  0.473122824  1.188323428
## [298,]  0.244203227  0.124670211
## [299,] -0.932773979 -0.723538859
## [300,]  0.720091571  0.108483530
## [301,] -0.501085666 -0.447556210
## [302,]  0.718340959 -0.098268391
## [303,]  0.109617474 -0.207952469
## [304,]  0.030515055  0.610897882
## [305,] -0.400852865  0.425130764
## [306,] -0.037178820  0.247090067
## [307,] -0.562633443 -0.019336438
## [308,] -0.714004235 -0.783153726
## [309,]  0.737576367  0.096973111
# Identifying the scores by their survival status
cancerp_pca <- cbind(data.frame(LUNG_CANCER),cancer_pca$x)
cancerp_pca
##     LUNG_CANCER          PC1          PC2         PC3          PC4          PC5
## 1           YES -0.646329947  0.332751806 -0.44274023  2.859184418  0.122598754
## 2           YES -0.610508061  0.058855781  0.83878638 -1.618262677 -1.600337930
## 3            NO -0.749550736 -1.504421159  2.66955055 -0.633003311 -0.554423032
## 4            NO  1.096019632  2.420201554 -1.33296429 -0.623882219 -1.620199492
## 5            NO  0.036188930 -1.476567174  1.06322075 -0.297399332  0.877535001
## 6           YES -0.532567242 -1.816704968  1.59490775  0.295408659  1.957759532
## 7           YES -2.543550172 -0.443750841  0.65879801 -0.490274648 -2.164652907
## 8           YES  2.572207921 -0.611692066  0.98184227 -0.400242160 -2.014776748
## 9            NO  1.272938608 -1.748902681 -2.03358144 -0.603715268 -0.190135930
## 10          YES  1.396823254  2.844502270 -1.74624933 -0.548914628 -0.481234509
## 11          YES  2.064989024 -1.179537297  0.77287410  1.619240317  0.200840281
## 12          YES -3.094017924 -0.236356800  0.18223710  0.351212010  1.270144781
## 13           NO  0.217887666 -2.889346007 -0.91100600 -1.432307481 -1.045267875
## 14          YES -3.138457875 -0.373951998 -0.53082600  0.580383563 -1.106225675
## 15           NO -2.644849262  1.404467949 -1.44318316  0.143100628  0.232452899
## 16          YES  1.650628200 -0.224745382  3.27395413 -0.093011818 -0.017887882
## 17          YES -2.832351242  0.682525475 -0.73821564 -0.010801951  0.679269335
## 18          YES  1.926614145  2.783633537 -0.57374848 -1.250303351 -1.057854292
## 19          YES  2.058726013 -1.588839942  1.68092889 -0.276981888 -0.505797399
## 20           NO  0.277622753 -2.858606054 -0.42259847 -2.045803131  0.939549144
## 21          YES  3.229605844 -1.107957864  0.54769701 -1.054795775 -1.494603821
## 22          YES  1.856494117  1.281078425  1.72529424  0.500791276  1.185679005
## 23           NO -0.050480044 -3.127406007 -3.04980327 -1.990025288 -0.705699392
## 24          YES -3.114648178 -0.180587030  0.10426359  0.266726364 -1.323963055
## 25          YES  0.277610744  3.357861077  0.49327829  0.917467589  0.437189391
## 26          YES -0.593103049  0.624184222  0.58814373  2.058674696 -0.508287510
## 27          YES  0.798726715  0.817444755  0.93374653 -0.444838292 -2.523918618
## 28           NO -1.483179713 -1.292781315  1.00754634  0.715640195  0.065334512
## 29          YES  1.135171580  0.783408309 -1.75430086  0.465724163 -0.417313447
## 30           NO -1.513992882 -1.471854090 -0.71445396  1.239531591  0.767188290
## 31           NO  1.249804903 -1.966549418 -1.89456009 -0.936322757 -0.643651435
## 32          YES -1.015659657  1.565562602 -1.96636100  0.688684179 -1.044736566
## 33           NO  1.959456710 -0.179323614 -1.66903462 -0.161407143 -1.632984057
## 34          YES  2.332965976  0.401390187  0.14559217 -1.127745419 -1.393041621
## 35           NO  1.785139801  1.845010472  0.27438022 -1.498888257 -1.437361903
## 36          YES  2.803119610 -0.463091900 -0.61631147 -1.129814399 -0.672500165
## 37          YES -0.906183428 -0.252869061  0.60868898 -0.552044454  0.490794665
## 38           NO  0.625607571 -1.096717211 -0.29615831 -1.482097111  1.247479925
## 39          YES -0.980782008 -0.452929695 -1.00809976 -1.791086031 -0.953341909
## 40          YES -2.531034433  1.054359249 -2.75170356  0.062941767  1.314619757
## 41          YES -1.849943675 -0.036969503 -0.70926167  0.528593229 -1.528261831
## 42          YES -0.768929068  0.787507023 -0.50866975  0.164717527  1.435220054
## 43          YES  1.593703995  0.429036798  1.52983078 -0.546232596  1.925341348
## 44          YES -1.913272210  0.172794143  0.20744605 -0.721150606 -1.789307797
## 45          YES  1.543800949  0.459571313 -1.73845136  0.640217881  2.124908844
## 46          YES  0.292377930  1.094376928  0.98377124  1.985566661 -0.599839321
## 47          YES -0.251600030  0.717276148  0.11116195 -0.575662628 -0.910947467
## 48          YES  0.254838293  0.616454646  0.11114292  1.765377472 -0.055649992
## 49          YES  0.179367433  1.125141361  2.32349723 -0.520119821  0.277971205
## 50           NO  0.952911843  1.162517658 -0.71030972 -2.443376329  1.135427261
## 51          YES -0.851848170  0.904980380  1.94819723 -2.525220801  0.637015235
## 52          YES  0.301087025 -0.841444915 -0.33470279  0.020924532 -0.407424612
## 53          YES -0.906545994  1.108874215  1.03521271  0.179671277 -0.804835301
## 54          YES -1.669956979  0.706463198  0.54089194  0.336371630 -0.952496542
## 55          YES  0.195017025 -0.473764877  0.02002028 -0.520758210  2.360776695
## 56          YES  0.200650077  2.716951889  1.41770341 -0.952121471  0.740632192
## 57          YES  0.518073225 -1.367268061  2.81032243 -0.783212228 -0.937364905
## 58          YES -1.831824121  1.109402015 -0.45190838 -0.415424258  1.192288451
## 59          YES  0.685756178 -0.408794213  0.31395717  0.052650501 -0.299515433
## 60          YES -0.498748639  0.460812608  0.14593215  1.348117096 -1.331297016
## 61          YES -0.851501742  1.873535014  1.07688266  1.057769336  1.654911975
## 62           NO  1.671406217 -0.423441611  0.01975544 -0.908557402  0.637102625
## 63          YES -1.102287719  0.573598828  1.07737079  0.769959205  1.589212310
## 64          YES  0.487489582  1.589885359 -0.52386479 -1.031169208  2.329019058
## 65          YES -1.821523333  0.607204567  2.39323915  0.916516254  0.021873142
## 66          YES  1.890194887  0.314196298  0.21915753  1.943292140  0.447955709
## 67          YES -0.908993115 -1.002601881  2.42194180 -0.792706294  0.098085784
## 68          YES -2.188253111 -1.295291142 -0.20414494  0.389988620 -0.418881441
## 69          YES  1.922127515 -0.483661450 -0.89450174  1.892882896 -0.799898913
## 70          YES  1.831473258 -1.208432390  0.77153641  2.788481409  0.126999960
## 71          YES  1.111645609  2.745232439 -1.90160470  0.587416793 -0.459646651
## 72          YES  1.972055116 -0.866834386  1.97362887  1.622670501 -1.020641169
## 73          YES -3.014541351  0.230927487  1.82358730 -0.870777134  0.323242135
## 74          YES  0.297544932 -3.341535872 -2.66498436 -0.870757883  0.580788533
## 75          YES -3.123513629 -0.202316474  0.02439536  0.353201837 -1.241766589
## 76          YES -2.175119346  0.619405502 -1.87693522 -0.203685676  0.728913726
## 77          YES  0.988165063  0.281111344  2.73257900  1.428695160  0.826564602
## 78          YES -3.171148404 -0.393624263 -0.52860137  0.462431181 -1.108134631
## 79          YES  1.909872378  2.594516335 -1.37039805 -0.316273317 -0.384527514
## 80          YES  1.884232732 -0.836929091  0.25971121  2.107873428 -1.134661282
## 81           NO  0.148410514 -2.759622666  0.17058795 -2.012337053 -0.253735238
## 82          YES  3.159260208 -1.376912455 -0.46218545 -0.031919056 -0.631448204
## 83          YES  1.589202745  3.215922052  1.45544104 -1.156249670 -0.416540691
## 84          YES -0.735262114 -0.558683606  0.06426583 -0.614419304  3.046112719
## 85          YES -2.492696658 -0.248148077  0.57351965 -1.485832190 -0.156211037
## 86          YES  0.164831585  1.067984585  0.76191427  0.778873264 -0.004490012
## 87          YES -0.791080564  1.277284906  0.13896203 -0.512508540  0.424119906
## 88          YES  1.019972886  1.038546046  0.67879987  0.166896049 -1.036950670
## 89          YES  1.355490521  1.048191345 -1.19753355 -1.835391137  0.487381401
## 90          YES -0.217694604  1.268039722  0.47349157 -1.166491895 -0.149140965
## 91          YES  0.200980870  1.569364821  0.23589533 -1.010042731  0.739065292
## 92          YES -1.224091912 -1.370670443  1.95314352 -1.673818763  0.298939223
## 93          YES -1.377079915  1.986294419  0.87166613 -2.146700312 -1.490469516
## 94          YES  1.105509567  1.009068862  0.89835083  0.952703555  1.771596512
## 95          YES -1.763739245  0.521690848  0.52910283 -1.278362192 -1.910301720
## 96          YES  2.144246653  1.031814241  0.70297021 -0.327085070 -1.299959938
## 97          YES -0.247301899  0.219966733 -1.52379872  0.759730600 -0.649174503
## 98          YES -0.943580309 -0.985801589 -2.47162486  0.257887623  0.377111320
## 99          YES  1.434728986  0.425244821  0.30490166  1.146598321  0.613218154
## 100         YES -3.084789560 -0.318539996 -0.37773171  0.447133452 -1.342039635
## 101         YES -2.211988131  0.291466382 -3.00610005  0.509360032  1.226245309
## 102         YES  0.934186102  0.103006060  2.09662512  2.008597406  1.345721614
## 103         YES -3.134406710 -0.118005299  0.30107545  0.285470960 -1.220197353
## 104         YES  1.829037095  2.049999607 -3.14856312  0.573307112  0.274730687
## 105         YES  1.889637650 -0.929392727 -0.06656941  2.287498244 -1.058126770
## 106         YES  0.304495611 -2.796890852 -0.22372072 -2.193562275  0.775896724
## 107         YES  3.150251750 -1.266687571 -0.15055069  0.047749838 -0.490198468
## 108         YES  1.504721972  2.576287720 -0.70174306  0.107804727  0.494154681
## 109         YES -0.513569276 -0.429919365  0.66685573 -2.146489489  1.272448570
## 110         YES -2.049787993 -0.595265518 -1.39788656 -1.626354625  0.259757990
## 111         YES -0.548863117  0.551657627  0.36348773  1.955891473 -0.754455175
## 112         YES  0.137370850  1.157565543 -0.22654103  0.220013284 -2.581582640
## 113         YES -0.769133382 -1.651851800  2.04076114  0.144667909  0.027932525
## 114         YES  1.052948611  1.877461485 -3.18476295  0.436016597 -0.942808927
## 115         YES -0.832893079 -1.520043078  1.23238975  0.789310913  1.071200271
## 116         YES -0.521560718 -1.774839073  1.77212639  0.062067842  1.766517195
## 117         YES -2.590558669 -0.606042808  0.07011790  0.065104794 -1.677476972
## 118         YES  2.565856126 -0.636635561  0.90085819 -0.352743399 -1.971483866
## 119         YES  1.890132650 -1.553285458 -0.21632974  2.489127348 -0.444483208
## 120         YES  1.809485293  2.507239709  0.23379629 -0.904604737 -0.130106958
## 121         YES  1.154753405 -0.820601807 -0.18191235  3.258811319 -0.010433839
## 122         YES -3.068643554 -0.358110282 -0.17957410  0.278724442  1.079820384
## 123         YES  0.603092803 -1.663570228 -0.81847194 -1.742527977 -1.373236514
## 124         YES -0.262265717 -0.458918399  1.14583763  0.431171055  0.242487727
## 125         YES -2.166676433  1.025027556 -2.44144452 -0.175700086  0.158619707
## 126         YES  1.396820173 -1.775823130  0.44315452  0.164190546  1.111925399
## 127         YES -2.621538470 -1.080128160 -1.50955976  0.829755886 -1.228986208
## 128         YES  1.904628487  2.458422492 -1.72758409 -0.464085245 -0.547767196
## 129         YES  2.449232521 -1.233115913  1.14940570  0.807738005 -1.464755784
## 130          NO  0.346806820 -2.486510669  0.79296731 -2.700072211  0.411814347
## 131         YES  3.029389183 -1.278867895  0.12853282  0.002537778 -1.822456522
## 132         YES  1.929414827  1.312693320  1.78007480  0.409498610  0.912824308
## 133         YES -0.087138867 -2.322217437 -0.65856528 -1.925296028 -0.156916374
## 134         YES -3.286936885 -0.510578871 -1.06794608  1.550312925  0.014328320
## 135         YES -0.243063096  3.265766261  0.36303718  0.455074271 -0.101216908
## 136         YES -0.885383059 -0.103152291  0.79354384  1.149680047  0.191778725
## 137         YES  0.779845934 -1.412199847 -1.48333758  0.232939883 -1.659993771
## 138         YES -1.475619881 -1.358995678  0.78667103  0.785254199  0.063938933
## 139         YES  1.315156524  1.874152974  1.90819130 -1.745565666 -2.120481240
## 140         YES -1.435594309 -0.886655409  1.17170443  0.402456719  0.175080477
## 141         YES  0.311554205 -1.503514600  1.98669876 -0.611745934 -0.377702324
## 142         YES -1.898169897 -0.689807691 -1.77090536  1.813131302 -0.926438974
## 143         YES  1.817982682 -0.274894663 -0.25700981  0.816135845 -1.374023354
## 144         YES  1.132188201  0.097406071  1.56257454  1.507813279 -0.597525384
## 145         YES  1.041211639  2.476633973 -2.22422610  0.853838815  0.789743107
## 146         YES  1.911956582 -1.279682355  0.58493540  2.442926394 -0.412810097
## 147         YES -2.208254898  0.244829063  1.39493556 -0.446948312 -0.084142771
## 148         YES  0.199618587 -1.606668229 -0.56648477  0.211079060  1.819639955
## 149         YES -3.151824202 -0.105442765  0.28680901  0.530946496 -0.974148171
## 150         YES -2.581152399  1.660530129 -0.45658460 -0.913041511 -0.642489672
## 151         YES -1.821212050  0.049106818 -0.42528735  0.326193983 -1.727503000
## 152         YES -0.709027954  1.118219938  0.61257539 -0.562639222  0.859330817
## 153         YES  1.527353442 -0.054701131 -0.07747901  0.328574008  2.559335815
## 154          NO  0.134446169  0.264009802 -1.70348774 -1.428607876 -0.536373103
## 155          NO  2.379419131 -0.094554298  0.55507534 -2.767771658  0.132335453
## 156         YES  1.816004356  0.546117886 -3.21264766  0.454846344  0.862978356
## 157          NO  0.693446059  0.977045613  0.26008812 -3.763916185 -2.021635959
## 158          NO  1.637082331 -0.335000397 -2.05755169 -0.746108139 -0.416159349
## 159         YES  0.296933463  1.194165867  2.60436670 -1.181630957 -0.546751798
## 160          NO  0.822754284  0.670235764 -2.41335728 -1.103663683  2.312033587
## 161         YES -0.918911402  0.663806963  1.18690797 -2.128116926  1.024959096
## 162         YES  0.231900961 -1.270641543 -1.76967126  0.862961366  0.236368161
## 163         YES -1.013939681  1.262821648  1.47304856  0.585206501 -0.098566521
## 164         YES -1.772694007  0.767271176  0.63712578  0.973149028 -0.128283972
## 165         YES  0.113097963 -0.357041885  0.30262585 -0.029388012  3.038456413
## 166         YES  0.075576812  2.276081375 -0.14913244  0.428758735  1.958389064
## 167         YES  0.477358107 -2.002383447  0.60892730  0.553159679 -0.100163895
## 168         YES -1.789229364  1.010323518 -0.71414648 -0.663628669  0.826928708
## 169         YES  0.719595969 -0.266957041  0.81937861 -0.376044152 -0.660229054
## 170         YES -0.479345237  0.029424455 -1.25225042  1.746517856 -1.293222426
## 171         YES -0.706487604  1.979788355  1.48164274  0.256635741  0.659195101
## 172          NO  1.659264316 -0.669984273 -0.80889570 -0.497190062  0.868951875
## 173         YES -1.053631487  0.418816948  0.64807542  0.512000760  1.171296835
## 174         YES  0.439619994  1.347267284 -1.34471999 -0.491319346  2.768031869
## 175         YES -1.736485551  0.889505297  3.31946123  0.301066951 -0.567055601
## 176         YES  1.908193822  0.100984757 -0.40588659  1.869485714  0.234457926
## 177         YES -1.025193951 -1.347023632  1.14815308  0.528994073  1.290656942
## 178         YES -2.229264288 -1.622311063 -1.29643165  0.990124308  0.004899612
## 179         YES  1.957225328 -0.433792361 -0.55469125  1.069085426 -1.511190662
## 180         YES  1.838526733 -1.356872831  0.31115872  2.847776221  0.079447061
## 181         YES  1.180112751  2.940457687 -1.22406253 -0.005852669 -1.024121550
## 182         YES  1.811861750 -1.441142807  0.01690577  3.101211177  0.312426585
## 183         YES -3.110670459 -0.364952154 -0.24358794  0.575227017  1.429197339
## 184          NO  0.360229263 -2.696506149 -0.58357746 -1.726264724  0.050562343
## 185         YES -3.223541067 -0.179218190  0.09257126  0.673772079 -0.685860956
## 186         YES -2.269746579  0.759892939 -1.50517585  0.258232091  1.433596248
## 187         YES  2.747577269 -0.892695063  0.37334010 -0.956311448  1.532003894
## 188         YES -0.149697264 -1.642331214 -2.28814301 -1.471419303 -0.781235965
## 189         YES  2.400777592  0.347128955 -1.71026348 -1.021489585  0.434261725
## 190         YES  2.664155409 -1.393549647 -1.71837991  0.529051941  0.057805594
## 191         YES  0.613534144 -1.458382780  0.89659577 -3.179203564  1.045150296
## 192         YES  2.833005133 -1.403952109 -1.83872171 -0.412027674  0.480801518
## 193         YES  3.117056920 -0.179410694 -1.10177848 -1.856855416  0.106854315
## 194         YES  1.396552964 -0.642255545  0.02050933 -3.110585372  1.836705087
## 195         YES -2.512642306  0.003850388  1.41044718 -1.765460899 -0.188561541
## 196         YES  0.041302770  0.619388750 -0.80700898  2.078283851  1.142567875
## 197         YES -0.813244847  0.880928753 -1.22887662  0.288977960  0.912007999
## 198         YES  0.986709032  0.840164793  0.05264538  0.423153898 -0.837258657
## 199         YES  1.252252204  0.988451934 -1.42301728 -1.323117294  1.159512551
## 200         YES -0.137885258  1.481731866  1.13219939 -1.525196202 -0.559153131
## 201         YES  0.136542296  1.207505130 -0.99116369 -0.216929658  1.363785406
## 202         YES -1.270419897 -2.048452421 -0.26872446 -0.709046147  0.847964695
## 203         YES -1.511779573  1.885698680  0.38947345 -1.030942437 -0.282150752
## 204         YES  1.085397022  1.243127916  1.68487628  0.664169343  1.724253118
## 205         YES -1.937338444  0.418609362 -0.03359575  0.232284332 -0.284578291
## 206         YES  2.079880884  0.956433882  0.49279972 -0.166467991 -1.020841607
## 207         YES -0.238660237  0.398472349 -1.03260961  0.864147837 -0.508793937
## 208          NO -0.159651843 -1.132594137 -0.05598138 -1.013129749 -0.784261739
## 209         YES  1.500566250  0.840189583  1.66536450  0.435082161  0.072426854
## 210         YES -3.014209221  0.355964728  1.96591223 -1.080854377 -2.396209206
## 211         YES -2.105058072  0.929924423 -0.80062808 -1.017803085  0.046453380
## 212         YES  0.942418911  0.054526904  1.96648773  1.934291974  1.240767541
## 213         YES -3.148924082 -0.594610120 -1.31041545  1.087399067 -0.793683557
## 214         YES  1.878394695  2.398574133 -1.99024350 -0.062447648 -0.190863682
## 215         YES  1.966715740 -0.630957885  1.05402026  1.155588169 -2.010604775
## 216          NO  0.277041266 -2.759604202 -0.07945444 -2.231880620  0.846800791
## 217         YES  3.171498795 -0.995402267  0.71278740 -0.251134699 -0.651266456
## 218         YES  1.556928786  2.591469129 -0.66355483 -0.035006615  0.235938143
## 219         YES -0.616500433 -0.513737474  0.21506585 -1.061891800  2.369939157
## 220         YES -2.586211894 -0.187369377  0.72652260 -1.088595931  0.457090666
## 221         YES  0.137716815  0.366509534 -0.16792988  0.543739987  0.849702117
## 222          NO  0.865093182  0.844185218 -1.74842823 -1.798595288  1.737694179
## 223         YES -0.913971012  0.969266395  1.97298215 -1.716775781  1.472684147
## 224         YES  0.313977949 -0.945041768 -0.72531396  0.292773295 -0.288118442
## 225         YES -1.072776501  0.599121897 -0.68085976  1.492600012  0.450812463
## 226         YES -1.699472023  0.930082069  1.24714633  0.260609994 -0.813935347
## 227         YES  0.251825578 -0.075337937  1.19428496 -0.695732642  2.249570554
## 228         YES  0.014567830  2.117497330 -0.74689429  1.102971967  2.580198736
## 229         YES  0.504752774 -1.860630264  1.15079860  0.009577708 -0.529532914
## 230         YES -1.698692239  1.131623356 -0.33312414 -1.038468810  0.327760281
## 231         YES  0.558690456 -0.191830970  0.83866091  0.887454211  0.824592143
## 232         YES -0.464475998  0.564705610  0.54205784  0.907998903 -1.720403026
## 233         YES -0.736607022  2.290777684  2.53098650 -0.131746814  0.602622034
## 234         YES  1.791907070 -0.482831255 -0.20730594 -1.103593125  0.098407869
## 235         YES -1.021622690  1.026768352  2.49920628  0.201024453  1.131623848
## 236         YES  0.511871527  1.643341139 -0.30949731 -1.318210021  2.062253193
## 237         YES -1.857682768  0.067118102  0.65282615  1.571807247  0.370261802
## 238         YES  1.973432877  0.329461293  0.39577264  1.190688519 -0.369711578
## 239         YES -0.844025398 -1.043350556  2.43615654 -1.497678287 -0.655538378
## 240         YES  1.798603632  1.277822318  1.64041006  0.964305961  1.712072698
## 241         YES  0.567970913 -1.465901428 -1.40821954 -1.475588124  1.328585265
## 242         YES -3.128591618 -0.100406746  0.42598650 -0.002631206 -1.449540091
## 243         YES  0.921300172  2.566347959  0.08444693 -0.327261230 -0.277565465
## 244         YES -0.707766669 -0.140351712  0.50896513  0.494931879  0.794661098
## 245         YES  0.727027732 -1.433071548 -1.59685113  0.593875654 -1.235796634
## 246          NO -0.813209418 -1.199505257  0.40464481 -0.405256608 -0.735537650
## 247         YES  1.137562086  1.419593842  0.28112686 -0.123186538 -0.567331492
## 248         YES -1.568549443 -1.353854798 -0.38152350  1.471266594  1.164907662
## 249         YES  0.206337661 -1.720761209  1.11360977  0.581416058  0.745153770
## 250          NO  0.582400965 -1.654341741 -4.03720871  0.592072897  0.127026158
## 251         YES  1.852485410  0.064395647  0.86057895  0.277190722 -1.725563610
## 252         YES  1.069824793  0.099379354  1.64192217  1.436102237 -0.464752520
## 253         YES  1.320083419  3.019301770 -0.60379759 -0.838972788  0.575723760
## 254         YES  1.826416008 -1.528447714 -0.21991298  2.977344774  0.131843922
## 255         YES -2.295131492  0.231836563  1.14798587  0.601866665  0.972169398
## 256         YES  0.184324517 -1.188753076  0.66614989  0.264048756  2.108122913
## 257         YES -3.143108851 -0.334761125 -0.41121557  0.580820285 -1.073009725
## 258         YES -2.658851944  1.282851605 -1.79186198  0.149784893  0.220653288
## 259         YES -1.871308247 -0.027948405 -0.67512508  0.569331753 -1.428769300
## 260         YES -0.711591973  0.787827363 -0.51712533  0.015709149  1.149714717
## 261         YES  1.686997211  0.200537154  0.82927435 -0.749102450  1.380292709
## 262         YES -1.858110215 -0.038377392 -0.44768335 -0.780682656 -2.102146836
## 263          NO -0.009983675 -1.961070989 -0.67218900  0.977524185  1.756913624
## 264         YES -0.640492349 -2.449177339 -0.47626302  1.394993461  2.816254162
## 265         YES -2.667743902 -0.624537600 -0.07078989  0.631216256 -1.022190383
## 266         YES  2.455060778 -0.932060495 -0.13446506  0.605103847 -1.049802875
## 267          NO  1.289042304 -1.784059560 -2.00134352 -1.157706179 -0.679250082
## 268         YES  1.464834078  3.334018842 -0.17613207 -1.228668742 -0.968154666
## 269         YES  2.198079582 -0.920094403  1.60613778  0.943922005 -0.588805903
## 270         YES -2.876746306  0.339743512  2.19185099 -1.486040419 -0.507401063
## 271          NO  0.060055521 -3.317302160 -2.37218122 -0.195895671  0.166259201
## 272         YES -3.142504794 -0.257942521 -0.17738398  0.552812520 -1.059087544
## 273          NO -2.634807935  1.168554355 -2.23638980  0.468363114  0.337151628
## 274         YES  1.505301199 -0.740318106  1.46628345  1.427782791  1.331421460
## 275         YES -2.740709424  0.722367627 -0.45692349 -0.908981952 -0.263057377
## 276         YES  1.905774831  2.562920015 -1.43666755 -0.402881750 -0.453816513
## 277         YES  2.017633169 -1.986659604  0.38967132  0.286357120 -0.144177349
## 278          NO  0.099735552 -2.950607582 -0.86988372 -0.826878661  2.360250992
## 279         YES  3.015656624 -1.371646389 -0.56504871  0.865577325  0.487728246
## 280         YES  1.825438683  0.837995677  0.24336244  1.242694873  1.631988024
## 281          NO -0.131569292 -2.296085695 -0.47529079 -2.174913004 -0.202269462
## 282          NO -1.322834911 -1.037008743 -0.41131805 -1.699174863 -2.575108219
## 283          NO  1.736775731  1.283284999 -1.49919175 -0.917952163 -1.119800076
## 284         YES -0.592930367  0.224645288 -0.78024226  2.755903856 -0.168581495
## 285         YES  1.928894090  2.708029329 -0.86288820 -1.014020749 -0.920456081
## 286         YES  2.367428208 -1.947699135 -1.30903111  2.358687696 -0.378804689
## 287          NO  0.290098251 -2.530916123  0.71152818 -2.701725928  0.558829150
## 288         YES  3.070879292 -0.884056499  1.49195594 -0.861410776 -2.416739566
## 289         YES  1.901858849  1.316866466  1.83316729  0.347207053  0.949670177
## 290         YES -0.148458186 -2.510569491 -1.25163372 -1.591987828  0.190570397
## 291         YES -3.160670480 -0.142895407  0.08071687  0.912125001 -0.674116273
## 292         YES -0.350752444  2.762553158 -1.29900566  1.452158009  0.740670485
## 293         YES -0.898366238 -0.174979956  0.55300720  1.296536856  0.308268936
## 294         YES  0.861502720 -1.425901982 -1.64547390  0.420718507 -1.767384879
## 295         YES -1.473211209 -1.294127913  1.01677328  0.634936076 -0.026911060
## 296         YES  1.111453285  0.841309250 -1.52709178  0.333852745 -0.419205639
## 297         YES -1.529405423 -1.178528936  0.25100317  0.921255092  0.711687244
## 298         YES  0.258107397 -1.743891382  1.19553857 -0.139263124  0.027543069
## 299         YES -1.904656129 -0.528637935 -1.18196439  1.415971336 -1.132951811
## 300         YES  1.848956846  0.029663156  0.79616089  0.147726816 -1.830864913
## 301         YES  1.150509115  0.284559833  2.21074344  1.095715426 -0.877160551
## 302         YES  1.152918867  3.108695777 -0.10406543 -0.443281716 -0.231421332
## 303         YES  1.932277477 -1.124180447  1.11643983  2.110205036 -0.653007261
## 304         YES -2.222289178  0.217516381  1.31604101 -0.408380875 -0.025831892
## 305         YES  0.309135098 -1.125563191  1.01347625 -0.729745122  1.004636281
## 306         YES -3.290318919 -0.773981843 -1.92760392  1.864300336  0.137285445
## 307         YES -2.664442991  1.297484746 -1.64793851 -0.204320402 -0.026482672
## 308         YES -1.831829290  0.042083823 -0.43588975  0.322802182 -1.701712188
## 309         YES -0.648431973  1.114788359  0.51649880 -0.439377745  0.770588458
##               PC6           PC7          PC8          PC9          PC10
## 1    0.7182594090  0.0900371245  1.051744451 -1.937650817  0.4989633841
## 2   -0.6772550951  1.9777064114 -1.557168739 -1.216866754 -0.5305604825
## 3    1.1916488129 -1.2195053227 -0.411285727 -0.323523971 -0.1148162874
## 4    1.7403584683  0.6091639642  0.258612735 -0.654105790 -0.2130147794
## 5    2.1847893962  0.2198466952  1.845426766  0.627204075 -0.6014890431
## 6   -0.2480383908  1.4550678660  0.483870124  0.558138013 -0.2014692509
## 7    0.9965416546 -0.8530147261  0.684045214 -0.285018564 -0.7811912336
## 8   -0.5055130553 -0.4251606584 -0.227317424  1.333349131  0.1917601304
## 9    1.1709683751  0.1970313925 -1.162926497  0.312410711 -1.0231229714
## 10  -1.4206369931 -0.3235588013  0.045516341  0.241215288  1.0354175725
## 11  -0.9877439635 -0.2335341620  0.675723070 -0.141706192 -1.1092713774
## 12  -0.7610221388  0.7783351846 -0.103927236 -0.972945187  0.3836599781
## 13   0.7356356660 -0.1182467785 -0.538078442  0.115259335 -0.8498243779
## 14  -0.3303380494 -0.4144204301  0.078712304  0.509575391 -0.1786395470
## 15   0.8668959754  0.1542886143 -0.441232526  1.201097550 -0.7763798784
## 16  -1.0582597188 -0.7242179155  1.600738198  0.810017235  0.0978269150
## 17  -0.5049244711  1.7816022095 -0.061502145  0.001210227 -0.9101287848
## 18   0.1840838476 -0.0442652608 -0.003095435 -0.819714203  0.2257921571
## 19   0.4184360878  1.5182832851 -0.362960279  0.678886989 -0.0700320345
## 20  -0.1026575213  0.1029842000  0.139143879 -1.173656688  0.0186207447
## 21  -1.1480175988 -0.8296570774  0.839375250 -0.234943802 -0.0825857254
## 22   1.3263081293 -0.4222197926  0.444424752  1.718445639 -0.4170879515
## 23  -3.4638911787 -2.6363622952  2.172674109  1.263816491  0.8334590948
## 24  -0.0004180954 -0.1158383494 -0.076506354  0.541266927 -0.3670905070
## 25  -0.2750442777  0.9287661421 -0.325823814  0.423680522 -0.5182746874
## 26   1.0816548676  0.0640144973  1.274308400 -1.764172546  0.3344585771
## 27  -0.2832546918  1.2360719838 -0.187090224  0.315365054 -0.0554968227
## 28   1.3433206731 -0.8591849926 -0.936163793 -1.220062630  0.4830794498
## 29  -1.6799924024 -0.0281633721  2.156630368 -1.020784884 -1.1447949606
## 30   1.0710626285 -1.3284110672  1.834728862 -0.381994526  0.6811806747
## 31   0.8185042829  0.1595997123  0.965113863  0.982824838 -0.1867421466
## 32  -0.5116245789  0.2213173362  0.411993823 -0.538385421 -1.0926900877
## 33   1.2290071541  0.4714686091  1.461225803 -0.325889829 -0.2473663898
## 34  -0.0646666045  2.2433620737  0.710404490 -0.950511191 -0.7809675133
## 35   2.4754853111  0.2893439181  0.923999043 -0.982576123  0.6579637222
## 36  -0.1422025234  1.3713987956  1.491799348 -0.266482715 -1.0176272530
## 37   0.8160953361  0.5636397794  2.230793234 -1.029467745  0.4891853321
## 38  -0.3534221454 -0.7417774978  1.638132555 -1.319142919 -1.6484147935
## 39  -0.1721706898  0.0335387929  1.024852681 -1.148675650 -1.2064988678
## 40  -1.1755253233 -0.3055779800  0.531840085  0.641114542 -0.3585174104
## 41   0.3339185093  1.5334741172 -0.742220999  0.397824082  0.6322714144
## 42   0.1743686979 -2.4061791305 -1.430371076 -0.412504818 -0.2390151804
## 43   1.0164937988  0.2833156337 -0.990443898 -0.608638156 -0.8755992881
## 44  -0.6089020677 -1.6271801419 -0.979063296  0.261435435 -0.0709340761
## 45  -0.2960954667 -0.0609937498 -0.506122202  0.560648901 -0.3045133671
## 46  -0.4779798997  0.7123433988 -0.252310393 -1.474850571 -0.4690179776
## 47  -0.5681313101  1.8002197935  0.989506417  0.151660074  0.5940115661
## 48   0.0650024003 -1.6861801155 -0.882564748  0.225197238 -0.6288864935
## 49  -1.3100505736  0.3797064291 -1.171015537 -1.344665437 -0.7421368508
## 50   1.3420468766 -0.3811321637 -0.227571574 -0.652518402  0.3433578516
## 51  -0.8400332772 -1.4635314100 -1.078142846  0.099897456 -0.1895171928
## 52  -0.8236403909  1.1294305256  0.840477295  0.190213575 -0.6073655522
## 53  -0.7293181061 -2.1049759827 -1.159698724  1.358785707 -0.9020524475
## 54  -2.3456226474 -1.5198752771  0.052128540 -0.129470207 -0.1026399486
## 55  -0.8361005036 -0.9337361769 -0.234221327  1.426062323  1.7765311821
## 56   0.6763606802  0.0390138240  2.563417845  0.722616967 -0.3790244685
## 57   1.6946080427  0.0698616819 -0.534759032  0.043136450  1.5033693120
## 58  -0.3582806110  1.6811886957  0.042283265 -1.182450667  0.7849571961
## 59  -1.3495183401 -2.2578695319  1.090262317 -2.250237313  1.0030432414
## 60   0.2690629341  1.1554971565 -1.160881822  0.832217716  1.6653117813
## 61  -0.7234518984 -0.6127871702 -0.742339680 -0.649836684  0.8693699595
## 62   2.7376481997  0.5069278238  1.443017228  1.237888114  0.4514609616
## 63   1.4658335990 -0.9257069648 -0.898460096  1.182587630  0.7225827545
## 64  -0.3455726719  0.3440809009  0.421923404 -0.198799051 -1.7624832578
## 65   1.0291862289  0.3015066007 -0.973691647  0.197857462  1.1499283042
## 66  -0.8641232698 -0.0765569415 -0.652176582 -0.405376799 -0.8177445459
## 67  -0.8224879637  0.4260268121  1.467835590  0.414959404  0.5598897961
## 68   1.4683182389 -0.1736121977  0.029019490 -0.125692739 -1.4472406140
## 69  -1.1647333718  1.0018628504 -2.021014782  0.026036013  0.7065863902
## 70   0.7122713714  0.4831732842 -0.770951147  0.048311261 -1.3917275625
## 71   0.2163691129  0.2332136225 -1.264055897  0.342708666  0.8105451156
## 72   0.8927285143 -0.0892148898 -0.031393992  0.512702951 -1.4173886846
## 73  -0.1471944405  0.8343504360  0.160820099 -0.725256307  0.0941240714
## 74  -1.2948417212 -0.0557786798 -0.137358569 -0.634600071 -0.5015041758
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## 277 -0.3019960188  0.7735920022  0.079229910  0.654463086  0.3520907959
## 278  0.4308091328  1.8659576704 -1.545778625 -1.887880264 -0.4217303502
## 279 -0.7519674960  1.2586366080 -1.278552065 -1.119937175 -0.5003505269
## 280  0.5227459304 -1.1517873688  0.828307407  1.701901555  0.0377575323
## 281 -1.2891964728  0.7268513687 -0.413380030  0.633575030 -0.5561705670
## 282  0.0072723101  0.1177275082 -0.650013848  0.271424375  0.5749921706
## 283  1.3745317270 -1.0682943337  1.842989199 -0.939231198  1.3300725948
## 284  0.3001583816 -0.6476922795  1.653718382 -1.711975445  0.7720718709
## 285  0.0608953430 -0.0522280140 -0.057624847 -0.829450762  0.2804388426
## 286 -0.3793650617 -0.7280509615  0.123139185  0.461371200  0.5299479216
## 287  0.4851285995  0.5384871928 -0.034959347 -1.162760972 -0.2992416890
## 288  0.7206171053 -0.5881867306  0.011350392  0.249568814 -0.3876300550
## 289  1.2655471357 -0.6204720310  0.636573907  1.855271946 -0.3714336955
## 290 -1.6098224177  0.6667855015 -0.514808749  0.565964376 -0.4048883452
## 291  0.3830414208  1.0109341013 -1.123266595  0.241569021 -0.6783633899
## 292 -0.6782178362  1.3000455823  0.767054107  0.198642605 -0.6140196286
## 293  1.6844910775 -0.0002079914  0.603823492 -1.555022296 -1.0310973402
## 294 -1.1399821131  0.5706408517  0.225131480  1.006080236  1.1212419211
## 295  1.2939157922 -1.0000212360 -0.805579220 -1.173390048  0.5219335656
## 296 -1.5209166720  0.1111558629  2.082635517 -1.083053578 -1.2292044177
## 297  1.7354934370 -0.5086166346  1.274213378 -0.507815962  0.2828894521
## 298 -1.7703871607 -1.0686169716  0.945636813  1.981196497 -0.0611704156
## 299  0.6019869525 -0.0363752051  0.421560655 -0.836265536 -0.6174102949
## 300  0.4477745716  0.6016858070 -1.070264315  0.420841396  0.3475341540
## 301 -1.7409282983  0.6768220842  0.003313970  0.460084373 -0.4587245723
## 302  1.0154864475 -0.0985800207 -0.643518629 -0.004429237  1.5584108132
## 303  0.4923718799 -0.3707895537  0.066845323  0.432132091 -1.1977180848
## 304 -0.8242134745 -0.2005517233  1.866263998 -0.162230166  1.2491918924
## 305 -0.5806708637 -1.0993056715 -0.071064434 -0.836025698  0.2882833788
## 306 -0.5943934264  0.1107253930 -0.653395882  0.019173765 -0.1081640853
## 307  0.5500102538 -0.6588696646  0.287068731  1.294093947 -0.5254052273
## 308  0.4272639574  1.5292324864 -0.687199135  0.451762489  0.5889517563
## 309  0.5268382605 -2.2511204799 -1.404420153 -0.130277486 -0.4341384337
##             PC11          PC12         PC13         PC14          PC15
## 1    0.420523565  0.4334820544  0.016896184  0.568431041  0.4383575733
## 2    0.462308125  0.3986804449 -0.218844308  0.061830934 -2.0687208915
## 3   -1.315721292 -0.6118901582 -1.234182675  0.374500028  0.7773050725
## 4   -0.036031283 -0.2638657935 -0.338447239  0.010300783  0.5421504516
## 5   -0.912182701 -0.4352120930 -1.415924824  0.029107293  0.2282780957
## 6    0.006675664  1.2983623838 -0.206751142 -0.234096001 -0.6232337130
## 7   -0.681612182 -0.4367979407  0.627895778 -0.126860747  0.5778337358
## 8    1.570297126 -0.3494589711 -0.224076737  0.307935702 -0.1791024816
## 9    0.588029356  1.3889527245  0.379929206  0.698899496  0.2331253689
## 10   0.013843135 -0.3935900740  0.183078896 -0.531951622 -0.0795574606
## 11  -0.393455043 -0.8581065623  0.256269265 -0.857916040  0.0129291768
## 12   0.012211427  0.7468853985  0.391100484  0.158685593 -0.2626260427
## 13   0.249502857  0.0929055090 -0.044637030  0.616334219 -0.0808919597
## 14   0.108202924  0.0621200579 -0.074766804 -0.009759719  0.1656639689
## 15  -0.894184802  0.6667391909 -0.134044309  0.395128230 -0.5965953711
## 16   0.908454725 -0.2179462237  0.185976081 -0.004498742 -0.4711337983
## 17  -0.992433913 -0.7479697500 -0.485089739 -0.584556336 -0.1028938720
## 18  -0.796874258 -0.9948424816  0.538850685 -0.867448372  0.4749865902
## 19  -0.844001807 -0.4463708756  1.628548810 -0.604924292  0.2536040792
## 20   0.320441162  0.1598941284 -0.096108696  0.385799068 -0.0495534724
## 21   0.467789803 -1.2219438435  0.249408139 -0.731181079  0.4061416274
## 22   0.411759401 -0.2953011717 -1.528031755  0.251766287 -0.3967280920
## 23   0.951863976 -0.0769681900 -0.219517073  0.120893372 -0.3421600285
## 24   0.095539826  0.0651550583  0.029651045 -0.012197733  0.1471579650
## 25  -0.734840381 -0.7561054781 -0.278001541 -1.273542765  0.0662511665
## 26   0.494253801  0.0829017276 -0.087042222  0.335995178  0.6686192208
## 27   1.219675724  0.3473208400 -0.118633159  1.409979591  1.0286389588
## 28  -1.041488146 -0.2161509584 -0.829347522 -0.448322267 -0.2646588750
## 29  -0.837946225  0.2926483701  0.133017998  1.000956763  0.8888048793
## 30   0.404992386  0.1465291483  0.689510060 -0.526647777  0.4152453066
## 31  -0.863377283  0.8313440043  0.490013777  1.143399608 -0.8880189012
## 32   1.135636716 -0.4148927197 -1.304990553  0.638676216  0.2022641052
## 33   0.828808911 -0.6314252501 -0.319879928 -0.179981187 -0.9960511402
## 34  -1.045951865  0.0668733975 -0.398041733  0.851525389 -0.2799188786
## 35   0.009148572  0.9825179146 -0.693330830  0.687387035 -0.9228988259
## 36   0.003684991 -0.4452323697  0.131529168  0.435770915 -0.5539587221
## 37  -1.864892347 -0.2768934238 -1.318510710 -1.321186730 -0.2473171349
## 38  -0.021480573 -0.3037972350 -0.919328509  1.015139336 -1.1288114460
## 39  -1.480099028  0.0080071951 -0.864049795 -0.975689884 -0.4962413909
## 40  -1.149182018  0.1416856598 -0.300607468 -0.552503014 -0.3531137163
## 41   0.806124346 -0.1179494334  0.638998799  0.611840391  0.4739033034
## 42   2.023023934 -0.1990796775 -0.721549002 -0.445591628 -0.3057797375
## 43   0.118601406  1.1488752332  1.127125769 -0.819164504  2.0210436648
## 44   0.370000163 -0.3286131012 -0.391529217 -0.756123983  0.9131450099
## 45  -1.614973464 -1.2134306509  1.337189896  0.479254455 -0.7940825244
## 46  -0.822660699 -0.5381476425  1.351054267 -0.871938739  0.2867008044
## 47  -0.825820015 -1.4698517789 -1.565778171 -0.912485003 -1.6294596013
## 48  -1.665852215  0.3708029720  0.525802391  0.726885898  0.2313883640
## 49   1.008512627 -0.1394632519 -0.443699967  0.933724085  1.2044084929
## 50   0.400890266 -0.8467778863  1.276292343 -0.515240987  0.6590492803
## 51  -0.203704842  0.7304241801 -0.305652649  0.014290211  1.4018728347
## 52   1.318968269  1.2676593358 -0.089367897 -2.200932157 -0.0105380974
## 53  -0.471740318  0.0747768687  0.312992783  1.462436004 -0.3283840429
## 54  -0.248509625 -0.7626119578  1.151848027  0.102037854 -1.1656168492
## 55   0.059631997 -0.3422837836  0.631467132 -0.430910715  0.7213219035
## 56   1.187959690 -0.3529930654  0.325920926 -0.635921694 -0.3963700610
## 57  -1.516700646 -0.5463492685 -0.689798999  0.290699987  0.6539578856
## 58   0.063045575 -1.5632941214 -0.689317295  0.965257941 -1.1668081449
## 59  -0.585555242  0.3180404088 -0.613800091 -1.021079901 -0.7911169580
## 60   0.168377749 -0.6514696533  0.427877290 -0.691209791  1.1214395016
## 61  -0.303937921  0.2195102429 -0.177772012 -0.966847954 -0.4534468747
## 62  -0.370589642  0.1881359754 -0.404935737  0.616217247  0.3213906647
## 63   0.562045314  0.6087100581  0.546564854 -1.127522933  0.0423631652
## 64   1.562104579  0.1679151372 -0.759164794  0.914358164  0.4221507490
## 65  -0.307419099  0.5669386920  0.323913746 -0.248765411  0.2401093667
## 66  -1.800555798  1.2416865299  0.546191663  0.025603755 -0.4886964204
## 67  -0.780803530  0.9680464791 -1.154511320 -0.234018960  0.2106001542
## 68   0.243501794 -0.7449588229  0.901164989 -0.639258371  0.2572572643
## 69   0.318511999  0.9865425504 -0.724604727  1.167513640 -0.3950871256
## 70  -0.155695975 -0.3662381423 -0.090378760 -0.082046491 -0.1027064113
## 71   0.395563837 -0.6353653669 -1.046143203 -0.395446609  0.4200325778
## 72  -0.132154535 -0.2768798130  0.554030785  0.187167051 -0.2955056307
## 73   0.118025861  0.2219809439  0.236114510 -0.198690863  0.0834334297
## 74  -0.140563287  0.1228052652  0.164854143  0.040425323 -0.2375809416
## 75   0.089152229  0.0810432184  0.008917707 -0.013010484  0.1426505796
## 76   0.252996727 -0.3221551566 -0.043456885 -0.401261618 -0.4983860014
## 77  -0.193686281  0.1925570034 -1.200835531  0.027174662  0.0545096490
## 78   0.225428911 -0.5317507356 -0.751995565 -0.518521957  0.6561825798
## 79  -1.038563904  0.1303494327  1.505910954 -0.006619541 -0.3864339587
## 80  -0.999779797 -0.4491545309 -0.203159284  0.890661824 -0.0687494212
## 81   0.736805720  0.0931148821 -0.548849539  0.929741566  0.1710456599
## 82   0.331212303 -0.6604685218  0.483127310 -0.383953382  0.0299625586
## 83  -0.494038249 -0.1809526966 -0.693029162 -0.321202640  1.2130307510
## 84  -0.247720716 -1.9830952857 -0.064812692  0.673317030  0.2488693728
## 85   0.293303760 -0.2526473413  0.760814035  0.442096802 -0.2483130580
## 86   0.854198843 -1.0578870797  0.246599297  0.268291758  0.0528875299
## 87   0.019427201 -0.7472741460 -0.315263937 -0.339431116  0.8530010449
## 88   0.515099491  2.2369077013 -0.708746469 -0.099849514 -0.4085056983
## 89   0.396677405  1.0281156094  1.251735506  0.365048538  0.6113069945
## 90  -0.196958743  0.1727445012 -0.175979624  0.251242033  0.3075061692
## 91  -0.908803697 -0.4641643806 -1.195676014  1.524708105  0.6341433167
## 92  -0.459819133  0.2415520696 -0.701715520  0.943060828 -0.4390341268
## 93   0.577211676  0.8769549835  0.467237575 -0.293414270 -0.7410211870
## 94   0.376024108 -0.5759689750  0.918623238  1.180562016 -0.2256674920
## 95   0.376550480 -1.1251383134  0.986458836  0.529105777 -1.1761631521
## 96   0.256931250  1.0610395622 -0.053629478  0.064945845 -0.5656595143
## 97  -0.478982591 -0.4067158254 -0.469145662  1.271401627  1.3387050869
## 98  -0.564062512 -3.0245294479  0.224081729 -0.554508893  0.2526254534
## 99   1.600824809 -0.1890302916 -0.476698915 -0.651020429 -1.1351435908
## 100  0.031125975  0.5189074993  0.558725281  0.430966100 -0.2377379712
## 101  0.197998438  0.0167154008  0.111369110 -0.132114611 -0.7366617528
## 102 -0.232379694  0.3170869111 -1.303548212  0.056202797  0.0039380143
## 103  0.097994130 -0.0417656755 -0.142942833 -0.152476705  0.2511952063
## 104 -0.978807594 -0.0232077362  1.024213559 -0.137775845 -0.2087744303
## 105 -1.037444131 -0.2112538879  0.033504034  1.106887063 -0.2613662304
## 106  0.297656183  0.2983409313  0.139191347  0.529135533 -0.1804720323
## 107  0.267943255 -0.4792219363  0.621133158 -0.299252011 -0.0977380566
## 108 -0.528340518  0.1251328831 -0.768143809 -0.088742811  1.0350856613
## 109 -0.142842041 -1.8814894234  0.895453078  1.186341067 -0.0392106502
## 110  1.032007126 -0.3873793935 -0.816200335 -0.424840010  0.8279075380
## 111  0.481548479  0.3114823182  0.292619651  0.622543704  0.4464357392
## 112  1.559874683  0.5833313450  0.424954703  0.585170837  0.0450815216
## 113 -1.510634671  0.2747947549 -0.496823920  1.038737062  0.1047037030
## 114 -0.115316858  0.2975403823 -0.012049023  0.494542530  0.1300361673
## 115 -0.188075600  0.8888540550  1.141636781  0.988710888  0.6328114784
## 116  0.056360617  1.0870240618 -0.357582970 -0.380795621 -0.4688026328
## 117 -0.731441650 -0.2534189793  0.607429918 -0.043427608  0.4755427006
## 118  1.575533621 -0.3750519323 -0.273590252  0.282372467 -0.1540428813
## 119  0.002893875 -0.6734814665 -0.163531606 -0.087412681  0.0663117691
## 120  0.446413642 -0.1277354242 -0.996326871  1.533737482  0.9768585655
## 121  0.267340266 -0.5660987518 -0.007395508 -1.279686466 -0.7323835988
## 122  0.046445956  0.7468656629  0.483713407  0.247944485 -0.2913995915
## 123  0.909000719  0.0897831534  1.177838651 -0.947387266 -0.3197825387
## 124  0.629823071  0.2879453770  1.029217109 -0.552474310  1.3399238865
## 125 -0.794056705  0.3317744877  0.355197311  1.018422844 -0.9907731226
## 126  0.622477115 -0.5249701939 -0.121688716 -0.490384411  0.5245018888
## 127 -0.751432612  0.0410632906  0.737055324  0.247121500  0.2607815840
## 128 -0.909917129 -0.3612919060  1.024192187 -0.346690172 -0.0056423842
## 129  0.154926058 -1.4391681156  0.274585841  0.185280098 -0.0479047276
## 130  0.270625145  0.3443025149  0.360694788  0.564730189 -0.2459314922
## 131  0.748888428 -0.7342885254  0.021271498  0.153580439  0.2566140136
## 132  0.292263416  0.4171591028 -0.584429409  0.931877149 -1.0174449090
## 133  0.632725753  0.7066884287  0.401761592  0.397497447 -0.8849132904
## 134  0.082412656 -0.1684765550 -0.870702276 -0.460534180  0.4826390917
## 135 -0.499571994  0.8084684685  0.725699554 -0.085896325 -0.8420581965
## 136  1.781096755 -0.8817805695  0.475251084  0.458090033  0.1610472198
## 137  0.486212420  1.2972806649 -1.259504124  0.426123376  0.9838162454
## 138 -1.052839007 -0.1033355495 -0.698800981 -0.328668481 -0.3616124824
## 139 -0.827117215  0.0825104158  0.688979321  0.914761849  0.9162253019
## 140  0.311282220  0.4158344275  1.270788526 -0.325763084  0.1517838075
## 141 -0.612991740 -0.2019474897  0.355503758 -1.244776480 -0.2495189658
## 142 -0.114333649 -0.0227009135  0.406267180 -0.010405241  1.2048803881
## 143  1.878384008 -0.2393013201 -0.157397029 -0.808686716 -0.9757275257
## 144 -0.607143298  0.1189496401 -0.477891520 -0.166257131 -0.2144755379
## 145  0.739290331  0.2381621476 -0.765082706  0.684180982 -0.0171179900
## 146 -0.145260843 -0.1348441116  0.432561804  0.283733600 -0.3620050869
## 147 -0.086011284  0.5618417957  0.276456518 -0.770593330  0.3672118599
## 148  0.160227162 -2.1881068236  0.902234343  1.106876115 -0.0786894943
## 149  0.031317302  0.1911905163  0.005616693 -0.018958445  0.0881407007
## 150 -0.726166472 -0.0431326938 -0.531473520 -0.073684909 -0.0995940026
## 151  0.789761746 -0.0174189036  0.847593039  0.723763015  0.3713978512
## 152  2.037954543 -0.2982559638 -0.565114272 -0.486874526 -0.2751620212
## 153  0.128639109  1.2161735687  0.908866917 -0.771517783  2.0159239490
## 154 -1.533056562 -0.7886853127 -1.578448855 -1.027067669 -0.1558162169
## 155 -1.799206424  0.3517339788  1.006613812 -0.511938750 -0.6690267496
## 156 -1.745772166  0.6357702258 -0.328529303 -1.535686219 -0.0084052138
## 157 -1.727595126  0.2096404580 -0.379922081 -1.631281664 -0.3556658255
## 158 -2.376585351  0.8935729172 -0.498587445  0.560593037 -0.1535818719
## 159  1.005679461  0.1691497143  0.301254883  1.396244152  0.8544999510
## 160  0.358603585 -0.7299125978  0.855931458 -0.564462146  0.6768503139
## 161 -0.118277128  0.3147405380 -0.961954969 -0.370877751  1.7798329478
## 162  1.322369895  1.3216155305 -0.328367399 -2.185022759 -0.0006690793
## 163 -0.490946417 -0.2477650604 -0.394734903  0.947105811  0.0303566101
## 164 -0.323505427 -0.7698571887  0.749456412 -0.140540080 -1.0586996402
## 165 -0.024775395 -0.2833212994  0.373770439 -0.595502381  0.7588735967
## 166  1.096750958 -0.0400292467  0.109174495 -0.542275847 -0.5334434028
## 167 -1.665107558  0.3814373406 -0.019691055  1.080792101 -0.0472712677
## 168  0.121517841 -1.6336033878 -0.593843975  1.032200983 -1.1569982511
## 169 -0.549889731  0.1712785672 -0.611523409 -1.099377267 -0.7051790987
## 170  0.173090442 -0.3460925249  0.765095255 -0.297061213  0.8511220659
## 171 -0.322702786  0.6536319167  0.791574771 -0.362402839 -0.9256792672
## 172 -0.393904330  0.4091380943 -0.259342542  0.826594309  0.1533518369
## 173  0.637843045  0.5151152191  0.641350658 -1.049027385  0.0623796356
## 174  1.556299335  0.2068648506 -0.920435851  0.910946304  0.4296449544
## 175 -0.362008509  0.8741466793  0.951553236  0.081808646 -0.0697876936
## 176 -1.710189519  1.0325347910  0.412329823 -0.031140234 -0.3517095595
## 177 -0.909995025  1.4121049162 -1.210938149 -0.051017509 -0.0331009714
## 178  0.239525689 -0.6413809846  0.822266920 -0.555354028  0.2051302279
## 179  0.545524019  0.0655601494 -1.438160622  0.538839358  0.2856419443
## 180 -0.124850377 -0.3876590948 -0.089921253 -0.040303164 -0.0981735864
## 181  0.403768501 -0.5956669180 -0.734455947 -0.275493242  0.3301105084
## 182 -0.132930313 -0.3766394866 -0.187203238 -0.064829097 -0.0839396096
## 183  0.016270698  0.7615497571  0.333919451  0.171045051 -0.2624416848
## 184 -0.224043337  0.2646391701  0.570084353  0.095086855 -0.3850995679
## 185  0.147757152 -0.4780702868 -0.895359681 -0.652032973  0.6727709000
## 186  0.193616175 -0.4240181500 -0.498121267 -0.720241421 -0.3232495839
## 187 -0.034761097  1.1457298699  0.586766276 -0.625570708  0.6892305938
## 188  0.504482451  0.5496962695  0.060856072 -0.847121852 -0.7707882356
## 189 -0.650616269 -0.1605567900  0.414551028 -2.110531901 -0.1496008604
## 190 -0.182798626  1.6411241358  1.044213913  0.110493834  0.2288751125
## 191  0.095969948  0.8016115611  0.042308039  0.010436164 -0.1049633741
## 192 -0.366156628  0.7496332500  0.768361136 -1.091461924  0.7148505058
## 193 -0.946409204 -0.3152183738  0.150414025 -1.053778779  0.7113997225
## 194 -0.855672835 -0.9830093268 -0.905832846 -0.409623569  0.1492982261
## 195  0.325176088 -0.6070675912  0.367549686  0.061677189  0.0541561124
## 196  0.794881574 -0.8748651352 -0.084748319  0.270197773  0.0146265993
## 197 -0.066920247 -0.1862714119  0.098864439  0.147105215  0.4261859754
## 198  0.570324710  2.0238937521 -1.044359363 -0.273356272 -0.2185264856
## 199  0.425186441  0.6429611071  0.491994328 -0.126800674  1.0069575413
## 200 -0.309246961  0.7596944788  0.686920137  0.799763529 -0.2162877586
## 201 -0.926207624 -0.3478009217 -1.355300510  1.578113090  0.5935029616
## 202 -0.435040531  0.4237204416 -0.745279545  1.175313970 -0.5592385296
## 203  0.452443320  1.0957245385  0.142243809 -0.388730863 -0.7838865288
## 204  0.419772768 -0.9714967884  0.485821261  0.774175656  0.1081471239
## 205  0.175739436 -0.6851285663  0.715121492  0.516934869 -1.3528110796
## 206  0.353103360  0.5024938497 -0.823726838 -0.469077034 -0.0738754850
## 207 -0.616674826  0.1076888698  0.048842036  1.623576983  0.9385118280
## 208 -0.932014894 -2.3782729327 -0.056710547 -0.746252808 -1.0047732584
## 209  1.560076315 -0.0806846266 -0.101208215 -0.548504487 -1.2679059152
## 210  0.177987430 -0.3405525381  0.069584376 -0.255456285  0.3831698686
## 211  0.290925203 -0.4797676870  0.097365997 -0.458753115 -0.4330577300
## 212 -0.197654486  0.2195844532 -1.364133168  0.014767142  0.0697480723
## 213  0.033115596  0.4977976943  0.277185030  0.357443913 -0.1692388424
## 214 -0.986944360 -0.0632916842  1.195268464 -0.162507838 -0.2130873890
## 215 -0.885201565 -0.8401300969 -0.235047500  0.715123819  0.1615237371
## 216  0.348346118 -0.0255630837 -0.265224647  0.217261282  0.0980469217
## 217  0.219225392 -0.3749311471  0.813013327 -0.253789639 -0.1893930475
## 218 -0.580699335  0.4949571942 -0.222702935  0.295336073  0.6989844827
## 219 -0.324346284 -1.3337935698  0.998841732  1.400331616 -0.3667381814
## 220  0.292793239 -0.5584445302  0.117974067 -0.004227517  0.0807831232
## 221  1.022770651  0.1527312235 -0.371180305  1.281589722  0.9916750779
## 222  0.465861696 -1.1847956071  0.607637361 -0.864458757  0.9942057110
## 223 -0.424516730  1.4748814174  0.145181171  0.420214420  0.8878891898
## 224  1.236438417  1.7300181032  0.383479681 -1.797487236 -0.3845053731
## 225 -0.426387323 -0.2842011807 -0.688413707  0.984933178  0.0919241125
## 226 -0.263850500 -0.9207747960  0.901682146 -0.143776831 -1.0068171990
## 227 -0.162814971  0.5436072760  1.690537431  0.239060114 -0.0051335613
## 228  1.026434521  0.1900517074  0.077777001 -0.454886610 -0.6582377293
## 229 -1.572773111 -0.0312910426 -0.288500239  0.789657126  0.2507442514
## 230  0.036653223 -1.0775967170  0.277635073  1.607073041 -1.6704573397
## 231 -0.760711421  0.5801334609 -0.853926932 -1.158985637 -0.8636755088
## 232  0.224797306 -0.8638491677  0.369310689 -0.806783880  1.2564088524
## 233 -0.256109481  0.0813377143  0.160075683 -0.944625884 -0.4426724802
## 234 -0.500478173  1.1402854283  0.940682998  1.603648258 -0.5339839208
## 235  0.420557609  1.1757651232  1.405814095 -0.660944846 -0.4584058641
## 236  1.601474335  0.0329770609 -0.786863332  0.850110349  0.5049464856
## 237 -0.245442814  0.5299043586  0.123567074 -0.198453838  0.2846141257
## 238 -1.677910380  0.9370002172  0.587961195 -0.028877664 -0.3326711026
## 239 -0.615963168  0.4614410046 -1.373119458 -0.462593734  0.5385699125
## 240  0.346190183 -0.1741353115 -1.640682285  0.219620922 -0.4347494070
## 241 -0.237700953 -1.8269571358 -1.733722502 -0.868267167  0.0739759153
## 242  0.189743967 -0.4365589058 -0.484810381 -0.440615878  0.5517758465
## 243 -0.157734030  1.3944431466 -1.315420940 -1.163315747 -1.0278137201
## 244  1.482778302 -1.2292871843  0.735433828 -0.310230712  0.2165680484
## 245  0.458353115  1.2794759823 -1.481894590  0.305867734  1.0478414078
## 246 -0.561798075  1.1599444136 -0.106549811  0.174440364 -0.5614477491
## 247 -0.904030686  0.1899898851  0.077693633  0.746239059  0.9884091324
## 248  0.367306846  0.0797105468  0.421658844 -0.727251810  0.5237866907
## 249 -0.771447964  0.3220145131  0.421694621 -1.015059403 -0.5611796464
## 250  0.891226655  1.8559091541  1.012247198  0.055194895 -0.9096856467
## 251  1.865768690 -0.2969116509 -0.060634134 -0.875628676 -0.9524645024
## 252 -0.460426027 -0.7028922394 -1.480131889 -0.915330523  0.4818986921
## 253  0.383069666  0.0729546428  0.084302734  0.102023258 -0.1799652501
## 254 -0.073701024 -0.5385788237 -0.284734897 -0.129813506  0.0242731252
## 255 -0.316718368  1.3263872034  0.646147689 -0.380331569 -0.1411549227
## 256 -0.020055754 -1.7066672359  1.308291456  1.314337165 -0.4218148172
## 257  0.099230582  0.0633414172 -0.089809685 -0.030062396  0.1705910065
## 258 -0.814719325  0.3554712920 -0.482169057  0.167179178 -0.3464488494
## 259  0.827465657 -0.2784515308  0.408041681  0.443426503  0.6190726633
## 260  1.969911006  0.1981480175 -0.131559676 -0.025757074 -0.6685676214
## 261  0.120692741  1.5520772439  1.851214993 -0.252163607  1.6108503758
## 262  0.382435126 -0.0915046435  0.031776181 -0.399960814  0.6689254912
## 263 -1.094660807  0.5313274642 -0.723942851  0.793217363 -0.4923627949
## 264  0.077558875  1.0730493255 -0.864140025 -0.451585611 -0.3669914933
## 265 -0.792476333 -0.1982225738  0.358157169 -0.161823863  0.5066678723
## 266  1.553818534 -0.4152766906 -0.754771835  0.100342799 -0.0263940820
## 267  0.786240415  0.5920760463 -0.296554785  0.146965215  0.8331283743
## 268 -0.077097448 -0.1064969348  0.735943782 -0.312441464 -0.3501374412
## 269 -0.507108198 -0.1399924983  1.449425933 -0.110453136 -0.6621996038
## 270  0.040436218  0.8904793243  1.394424602  0.565017503 -0.5631495248
## 271  0.271097474 -0.1892803429 -0.938504400  0.190741482  0.2747592430
## 272  0.074050682  0.1269508821 -0.024944975 -0.003253330  0.1234850640
## 273 -0.931853006  1.0078033725  0.209204840  0.739747383 -0.8785993809
## 274  0.836197278  0.0005452163 -0.200324353 -0.003385652 -0.5181722760
## 275 -0.841050307 -1.1692393307 -0.517406569 -0.715403414  0.1361235206
## 276 -0.983023515 -0.1041939949  1.271501292 -0.181852971 -0.2020560780
## 277 -0.801581787 -0.5012883274  1.399310331 -0.619467237  0.3217333923
## 278  0.235167642  0.0761654172 -0.868124389 -0.030755816  0.1837052038
## 279  0.259645931 -0.7659212831 -0.171331327 -0.771443767  0.2503776820
## 280  0.386626612  0.0020122656 -1.394599751  0.535355543 -0.6125133511
## 281  0.802480244 -0.1790725087 -0.588888791 -0.368026445 -0.1555218514
## 282  0.482401592  0.8485498995 -0.439878351  0.187371367 -0.9810781952
## 283  0.133037414  0.6534827324 -1.212225499  0.499259150 -0.6413672907
## 284  0.406502194  0.7165172399  0.480778116  0.925558289  0.1639291407
## 285 -0.857974639 -0.6741941727  0.840754566 -0.600815722  0.2219338890
## 286  0.038978935 -0.7220043659  0.586611893  0.752720450 -0.5492553667
## 287  0.400500823 -0.3586637134 -0.511835579 -0.069931664  0.3513372646
## 288  0.822793804 -1.1842067114 -0.215174410 -0.208041555  0.5787408975
## 289  0.367378840  0.0070424388 -1.070586440  0.564778180 -0.6732674459
## 290  0.707731574  0.3200376804 -0.202871587  0.031149299 -0.5331046573
## 291 -0.081437579  0.6813613159  0.423020726  0.339802365 -0.2840377311
## 292 -0.448238235  0.5883060329  0.080163844 -0.336205536 -0.5854681151
## 293  1.782082642 -0.8786251058  0.424369024  0.453352217  0.1686013563
## 294  0.262999653  2.5161366718  0.184353081  1.516995025 -0.0388854969
## 295 -1.028991209 -0.2410878726 -0.813808730 -0.445286831 -0.2550268203
## 296 -0.767768447 -0.1184498761 -0.336592138  0.625874697  1.2319341578
## 297  0.424298678 -0.1658003787  0.354749610 -0.877756151  0.6822191559
## 298 -0.583145614 -0.3361529386  0.012495691 -1.390367906 -0.1025393108
## 299 -0.021967799 -0.5455360842 -0.094936125 -0.461983720  1.6215068235
## 300  1.938133198 -0.6013023488 -0.357609883 -1.101025575 -0.7146842916
## 301 -0.568533563 -0.1138279703 -0.613242911 -0.355154778 -0.0453825308
## 302  0.737361526  0.1736037657 -0.361233504  0.692900730 -0.0526630204
## 303 -0.126718864 -0.2544281997  0.408186660  0.192943852 -0.2835720653
## 304 -0.061479981  0.4313114021  0.099934079 -0.890448988  0.4808252877
## 305  0.093734175 -1.8826517649  1.632717238  1.431294242 -0.4038404559
## 306  0.087368328 -0.0350587299 -0.772962725 -0.292136488  0.3733408245
## 307 -0.674268055 -0.2830235204 -1.093907597 -0.326910311  0.1536629841
## 308  0.814679485 -0.1524666351  0.681117266  0.601996141  0.4859256479
## 309  1.875453301  0.5883067607  0.490080068  0.307284192 -1.0199760971
##             PC16         PC17
## 1   -0.204699168  0.399778790
## 2    0.045288943  0.292915024
## 3   -0.271595154 -0.814045516
## 4   -0.371673537  1.078203419
## 5    0.734034423  0.516096799
## 6    0.370839736  0.464690533
## 7   -0.322143489  0.050306784
## 8    0.531051672  0.194644777
## 9   -1.124665269 -0.473960208
## 10   0.076492553  0.033336741
## 11  -0.534141622 -0.128982341
## 12   0.084037407 -0.456830857
## 13   0.189629446  0.456895464
## 14  -0.016716439 -0.021511422
## 15   0.006422442 -0.329564249
## 16  -0.225723824 -0.788232416
## 17   0.487690414 -0.355745563
## 18  -0.216253994  0.281111017
## 19  -0.357368372 -0.574817902
## 20  -0.121585264  0.153361961
## 21  -0.325279346  0.341539699
## 22  -0.249217026 -0.517074387
## 23  -0.474336582  0.001382573
## 24   0.020601136 -0.029383874
## 25  -0.421748563 -0.176386698
## 26  -0.375057468  0.459319241
## 27   0.157050749  1.283191589
## 28   0.172160415 -1.177121386
## 29   0.840632915  0.308201578
## 30   0.546906491  0.990041317
## 31   1.833637726  0.602301402
## 32   0.899009190 -0.685671003
## 33   0.778795299  0.192681525
## 34   0.282663097  0.192190653
## 35  -0.281726780 -0.102251797
## 36   0.404702630  0.315448071
## 37   0.252701007 -0.080408534
## 38   0.835870432 -0.173405499
## 39   0.794453324 -0.901139864
## 40  -0.664108490 -0.302257112
## 41  -0.699334673 -0.772619337
## 42   0.302214498  0.526431365
## 43   0.215644055  0.008363015
## 44   1.218170500 -0.374050417
## 45  -0.107189826  1.558186080
## 46  -0.014697978 -0.110994738
## 47  -0.314501834  1.085094010
## 48  -0.453323188  1.568209576
## 49   0.371135730 -0.880906339
## 50   0.038378647 -1.504845090
## 51  -0.190277899 -0.215343711
## 52   0.571180847 -0.485102183
## 53  -0.795216391  0.307609636
## 54   0.101171607 -0.457206584
## 55  -0.836682394  1.227393045
## 56  -0.761838666  0.044936466
## 57  -0.093377912  0.519556971
## 58  -0.085545972  0.334201010
## 59   0.820792154  0.214839663
## 60   0.108966172 -0.162975362
## 61  -0.542958636  1.037635542
## 62  -1.090814185 -0.173869707
## 63   0.397950756  0.601928262
## 64  -0.286457614 -0.316048608
## 65   1.423427877  0.100505316
## 66  -1.311470262 -0.340525215
## 67  -0.360979053  0.384060109
## 68   0.046545960  0.364930671
## 69   0.851869088  0.039331283
## 70   0.125575693  0.027204718
## 71   0.339668208  0.511883358
## 72   0.135095885 -0.227962988
## 73  -0.161028009 -0.359990351
## 74  -0.151488592  0.364242693
## 75   0.032547772 -0.019961277
## 76  -0.125258951 -0.040086038
## 77  -0.314385878 -0.543428311
## 78  -0.335717440  0.228175597
## 79   0.400994735 -0.072763914
## 80  -0.528254127  0.151448992
## 81   0.139513375  0.283297565
## 82  -0.005952746  0.259756203
## 83   0.220449326  0.205910512
## 84   0.821389639 -0.280463409
## 85  -0.616768168 -0.143967535
## 86   0.587250538  0.095098054
## 87  -0.057818756 -0.333248457
## 88  -0.618241629  0.030801222
## 89   0.262114853  0.284029297
## 90  -0.441595058  0.570186068
## 91   0.546853402  0.247395413
## 92  -0.954452414 -0.237225566
## 93  -0.690367526  0.648356547
## 94   1.196418062 -0.755162981
## 95  -1.025634831  0.626103061
## 96  -0.491732734 -0.231372581
## 97   0.162249355  0.180426095
## 98   0.601243917 -0.104024116
## 99  -1.217306954 -0.042251874
## 100  0.210795257 -0.266528766
## 101  0.009178791 -0.140306083
## 102 -0.239832184 -0.505299089
## 103 -0.001081145  0.061331010
## 104  0.225753874  0.024185581
## 105 -0.423907862  0.044826848
## 106 -0.049813183  0.066391359
## 107  0.144666199  0.249381777
## 108  0.288291683  0.147150980
## 109  0.683932546 -0.766405649
## 110 -0.165238363  0.413606088
## 111 -0.311500803  0.275308649
## 112  0.470357058  0.841243335
## 113  0.222169322 -1.078565979
## 114 -0.168079224  0.872922772
## 115  0.877633521  1.155793976
## 116  0.248481964  0.515447773
## 117 -0.215599949  0.058770936
## 118  0.514993586  0.210590031
## 119 -0.226150793 -0.086942561
## 120  0.289380434  0.313280968
## 121  0.215127207 -0.235851294
## 122  0.018379895 -0.540713487
## 123 -0.445011923 -1.187395940
## 124 -0.197477228  0.266806473
## 125 -0.289242777 -0.037798448
## 126 -0.565139828 -0.738008042
## 127 -0.159623044 -0.074763111
## 128  0.075685920  0.058279950
## 129 -0.639909303  0.323712286
## 130  0.029766279  0.032157735
## 131  0.251431807  0.393080370
## 132  0.099890861 -0.888438144
## 133  0.278208194  0.028194637
## 134 -0.035768643  0.342225755
## 135 -0.465900314 -0.053961025
## 136 -0.579918745 -0.349760333
## 137  0.000772863  0.151658109
## 138  0.209223668 -1.243826974
## 139  0.869070173  0.233877079
## 140  0.805399365  0.872283165
## 141  0.341425105  0.022592252
## 142 -0.684397168 -0.936264140
## 143  0.869141848 -0.006288726
## 144 -0.404210072 -0.522821842
## 145  0.676296036 -0.021386986
## 146  0.152334617 -0.236617040
## 147  0.100548266  0.546407053
## 148 -0.614292886  0.646342147
## 149  0.157997524  0.030636773
## 150 -0.396764299 -0.190573406
## 151 -0.644069677 -0.846298375
## 152  0.284353292  0.503158969
## 153  0.173424869  0.019842343
## 154  0.044405912 -0.388242074
## 155  0.824834606  0.325438074
## 156  0.121962865 -0.861216712
## 157 -0.442513188  0.702610115
## 158  0.793495320  0.334082201
## 159  0.447669504 -1.216843843
## 160  0.090886418 -1.371108370
## 161 -0.438017503  0.002962693
## 162  0.541409695 -0.450589729
## 163 -0.820401346  0.677621810
## 164  0.226252313 -0.216161914
## 165 -0.677481397  1.415588471
## 166 -0.583691233  0.119191040
## 167  0.293109180  0.174793193
## 168 -0.203669862  0.239594626
## 169  0.743351273  0.219123542
## 170  0.130802257 -0.400058587
## 171 -0.410579567  0.611738612
## 172 -1.026212619 -0.272878294
## 173  0.242101208  0.488238862
## 174 -0.288948646 -0.279987488
## 175  1.601354083 -0.114113845
## 176 -1.520591312 -0.365248874
## 177 -0.085103098  0.421068268
## 178  0.047903515  0.346408715
## 179  0.290577969  0.257721538
## 180  0.058594121 -0.016260362
## 181  0.351179366  0.395519794
## 182  0.067019098  0.018984832
## 183  0.069867765 -0.454941763
## 184  0.068081891  0.334040887
## 185 -0.180412417  0.376233283
## 186 -0.039127144  0.230944364
## 187 -0.461598407 -0.299418857
## 188 -0.863571623  0.415674312
## 189  0.164826381 -0.745791996
## 190  0.055938829 -0.226902271
## 191 -1.130935409  0.447494847
## 192 -0.780931794 -0.127862513
## 193 -0.218573295 -0.492468351
## 194 -0.164408869 -0.368908455
## 195 -0.723395579  0.067538846
## 196  0.685196206  0.204171257
## 197  0.169355098 -0.549958598
## 198 -0.769993878  0.122808536
## 199  0.128325234  0.614367708
## 200 -0.115885447  0.264880595
## 201  0.569809145  0.268030342
## 202 -1.012129894 -0.350160623
## 203 -0.449618464  0.852052206
## 204  1.060227957 -0.534824136
## 205 -0.614394865  0.846168128
## 206 -0.773683331  0.063697140
## 207  0.510641502  0.044842721
## 208  0.539028601 -0.851370448
## 209 -1.093386790 -0.122726928
## 210 -0.155246654  0.001096426
## 211 -0.194613598 -0.072297240
## 212 -0.321072705 -0.504598778
## 213  0.179998006 -0.184224234
## 214  0.259444768  0.009943970
## 215 -0.780618138  0.139516314
## 216 -0.198320989  0.234820841
## 217  0.268641865  0.234126153
## 218  0.453731649 -0.077289733
## 219  1.088579218 -0.729502626
## 220 -0.676442863  0.168806418
## 221  0.347355852 -1.056801166
## 222 -0.165990170 -1.283069689
## 223  0.332638512 -0.293672149
## 224  0.795452124 -0.679781217
## 225 -0.988260241  0.662611902
## 226  0.110787399 -0.291810588
## 227 -0.252893278  0.923464117
## 228 -0.433616613  0.144755671
## 229  0.066773967  0.275017663
## 230  0.063241523 -0.101200129
## 231  1.179012497  0.462607684
## 232 -0.019352945 -0.148293626
## 233 -0.615282088  0.926318797
## 234 -0.681058673 -0.744278153
## 235  0.786713435  0.356755296
## 236 -0.374744887 -0.315348333
## 237  1.269945960  0.064941224
## 238 -1.574325649 -0.425168932
## 239 -0.740202720  0.388446323
## 240 -0.117226699 -0.428558305
## 241  0.955826543 -0.268608022
## 242 -0.232986784  0.174246513
## 243 -0.030911579 -0.178010067
## 244 -1.116037385 -0.443587411
## 245  0.040368748  0.267750892
## 246  1.404264474 -1.478292614
## 247  0.978839680  0.483021714
## 248  0.603511293  1.157426119
## 249  0.692486224  0.040663628
## 250 -0.722358199 -0.980492359
## 251  0.905558470  0.015177064
## 252 -0.818092266 -0.133033980
## 253  0.321527445 -0.257408901
## 254 -0.070998352  0.016638914
## 255  0.637360258  0.497985009
## 256 -0.183950774  0.629102932
## 257  0.001359994 -0.002573657
## 258 -0.199281757 -0.231513525
## 259 -0.767591488 -0.674397629
## 260  0.473512663  0.278870895
## 261  0.279643315 -0.373044027
## 262  1.231233143 -0.616917441
## 263  1.196629303  0.206480172
## 264  0.154833871  0.622433628
## 265 -0.106378218  0.206223917
## 266  0.516903811  0.396282048
## 267 -1.619758037 -0.272082445
## 268  0.326323508 -0.089511243
## 269 -0.174273385 -0.580481396
## 270  0.117172450 -0.841650045
## 271  0.058390380  0.788983893
## 272  0.062226434 -0.005549539
## 273  0.120922819 -0.511551264
## 274 -0.104788706 -0.658045736
## 275  0.155305470 -0.417142635
## 276  0.258037515  0.001018338
## 277 -0.471111047 -0.560894424
## 278 -0.009003091  0.546602298
## 279  0.087872999  0.607421705
## 280 -0.181710770 -0.644080424
## 281 -0.184704565  0.404085944
## 282  0.381975583 -0.300021491
## 283 -0.599984450 -0.026298504
## 284 -0.130302106  0.170677295
## 285 -0.054769022  0.159784347
## 286 -0.357835410  0.115076387
## 287 -0.335197519  0.362168104
## 288  0.068117172  0.532982330
## 289 -0.109459288 -0.700975579
## 290  0.057996353  0.237331002
## 291  0.442745185 -0.109642684
## 292 -0.638324403  0.131842402
## 293 -0.586836031 -0.339105240
## 294  0.622801658 -0.405256743
## 295  0.146444590 -1.191554915
## 296  0.643560584  0.500112321
## 297  0.473122824  1.188323428
## 298  0.244203227  0.124670211
## 299 -0.932773979 -0.723538859
## 300  0.720091571  0.108483530
## 301 -0.501085666 -0.447556210
## 302  0.718340959 -0.098268391
## 303  0.109617474 -0.207952469
## 304  0.030515055  0.610897882
## 305 -0.400852865  0.425130764
## 306 -0.037178820  0.247090067
## 307 -0.562633443 -0.019336438
## 308 -0.714004235 -0.783153726
## 309  0.737576367  0.096973111
# Means of scores for all the PC's classified by Survival status
tabmeansPC <- aggregate(cancerp_pca[,2:15],by=list(LUNG_CANCER=cancer$LUNG_CANCER),mean)
tabmeansPC
##   LUNG_CANCER         PC1        PC2        PC3       PC4          PC5
## 1          NO  0.33366607 -1.0169661 -0.7839497 -1.097169  0.010636897
## 2         YES -0.04819621  0.1468951  0.1132372  0.158480 -0.001536441
##          PC6         PC7         PC8         PC9        PC10        PC11
## 1  0.8480279 -0.13586975  0.09232115 -0.14776307 -0.07819061 -0.18188979
## 2 -0.1224929  0.01962563 -0.01333528  0.02134355  0.01129420  0.02627297
##          PC12        PC13        PC14
## 1  0.11610476 -0.21705424  0.11768416
## 2 -0.01677069  0.03135228 -0.01699882
tabmeansPC <- tabmeansPC[rev(order(tabmeansPC$LUNG_CANCER)),]
tabmeansPC
##   LUNG_CANCER         PC1        PC2        PC3       PC4          PC5
## 2         YES -0.04819621  0.1468951  0.1132372  0.158480 -0.001536441
## 1          NO  0.33366607 -1.0169661 -0.7839497 -1.097169  0.010636897
##          PC6         PC7         PC8         PC9        PC10        PC11
## 2 -0.1224929  0.01962563 -0.01333528  0.02134355  0.01129420  0.02627297
## 1  0.8480279 -0.13586975  0.09232115 -0.14776307 -0.07819061 -0.18188979
##          PC12        PC13        PC14
## 2 -0.01677069  0.03135228 -0.01699882
## 1  0.11610476 -0.21705424  0.11768416
tabfmeans <- t(tabmeansPC[,-1])
tabfmeans
##                 2           1
## PC1  -0.048196210  0.33366607
## PC2   0.146895102 -1.01696609
## PC3   0.113237181 -0.78394971
## PC4   0.158479973 -1.09716904
## PC5  -0.001536441  0.01063690
## PC6  -0.122492912  0.84802785
## PC7   0.019625631 -0.13586975
## PC8  -0.013335277  0.09232115
## PC9   0.021343555 -0.14776307
## PC10  0.011294199 -0.07819061
## PC11  0.026272969 -0.18188979
## PC12 -0.016770687  0.11610476
## PC13  0.031352279 -0.21705424
## PC14 -0.016998823  0.11768416
colnames(tabfmeans) <- t(as.vector(tabmeansPC[1]$LUNG_CANCER))
tabfmeans
##               YES          NO
## PC1  -0.048196210  0.33366607
## PC2   0.146895102 -1.01696609
## PC3   0.113237181 -0.78394971
## PC4   0.158479973 -1.09716904
## PC5  -0.001536441  0.01063690
## PC6  -0.122492912  0.84802785
## PC7   0.019625631 -0.13586975
## PC8  -0.013335277  0.09232115
## PC9   0.021343555 -0.14776307
## PC10  0.011294199 -0.07819061
## PC11  0.026272969 -0.18188979
## PC12 -0.016770687  0.11610476
## PC13  0.031352279 -0.21705424
## PC14 -0.016998823  0.11768416
# Standard deviations of scores for all the PC's classified by Survival status
tabsdsPC <- aggregate(cancerp_pca[,2:15],by=list(LUNG_CANCER=cancer$LUNG_CANCER),sd)
tabfsds <- t(tabsdsPC[,-1])
colnames(tabfsds) <- t(as.vector(tabsdsPC[1]$LUNG_CANCER))
tabfsds
##             NO       YES
## PC1  1.1609600 1.7524300
## PC2  1.5776135 1.3108022
## PC3  1.3045548 1.2613646
## PC4  1.1200050 1.1441594
## PC5  1.1304709 1.1454427
## PC6  1.0748310 0.9720025
## PC7  0.8220952 0.9970793
## PC8  1.1019348 0.9205512
## PC9  0.9200968 0.9004061
## PC10 0.6403545 0.8712853
## PC11 0.8557198 0.7849393
## PC12 0.7749977 0.7640128
## PC13 0.6910340 0.7296813
## PC14 0.6131616 0.7318746
t.test(PC1~cancer$LUNG_CANCER,data=cancerp_pca)
## 
##  Welch Two Sample t-test
## 
## data:  PC1 by cancer$LUNG_CANCER
## t = 1.7817, df = 66.117, p-value = 0.07939
## alternative hypothesis: true difference in means between group NO and group YES is not equal to 0
## 95 percent confidence interval:
##  -0.04603076  0.80975531
## sample estimates:
##  mean in group NO mean in group YES 
##        0.33366607       -0.04819621
t.test(PC2~cancer$LUNG_CANCER,data=cancerp_pca)
## 
##  Welch Two Sample t-test
## 
## data:  PC2 by cancer$LUNG_CANCER
## t = -4.3933, df = 45.892, p-value = 6.533e-05
## alternative hypothesis: true difference in means between group NO and group YES is not equal to 0
## 95 percent confidence interval:
##  -1.6971443 -0.6305781
## sample estimates:
##  mean in group NO mean in group YES 
##        -1.0169661         0.1468951
t.test(PC3~cancer$LUNG_CANCER,data=cancerp_pca)
## 
##  Welch Two Sample t-test
## 
## data:  PC3 by cancer$LUNG_CANCER
## t = -4.0313, df = 48.83, p-value = 0.0001939
## alternative hypothesis: true difference in means between group NO and group YES is not equal to 0
## 95 percent confidence interval:
##  -1.3444652 -0.4499086
## sample estimates:
##  mean in group NO mean in group YES 
##        -0.7839497         0.1132372
t.test(PC4~cancer$LUNG_CANCER,data=cancerp_pca)
## 
##  Welch Two Sample t-test
## 
## data:  PC4 by cancer$LUNG_CANCER
## t = -6.5267, df = 50.159, p-value = 3.26e-08
## alternative hypothesis: true difference in means between group NO and group YES is not equal to 0
## 95 percent confidence interval:
##  -1.6420402 -0.8692579
## sample estimates:
##  mean in group NO mean in group YES 
##         -1.097169          0.158480
t.test(PC5~cancer$LUNG_CANCER,data=cancerp_pca)
## 
##  Welch Two Sample t-test
## 
## data:  PC5 by cancer$LUNG_CANCER
## t = 0.062756, df = 49.951, p-value = 0.9502
## alternative hypothesis: true difference in means between group NO and group YES is not equal to 0
## 95 percent confidence interval:
##  -0.3774538  0.4018004
## sample estimates:
##  mean in group NO mean in group YES 
##       0.010636897      -0.001536441
## F ratio tests
var.test(PC1~cancer$LUNG_CANCER,data=cancerp_pca)
## 
##  F test to compare two variances
## 
## data:  PC1 by cancer$LUNG_CANCER
## F = 0.43889, num df = 38, denom df = 269, p-value = 0.003044
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
##  0.2822169 0.7462698
## sample estimates:
## ratio of variances 
##          0.4388875
var.test(PC2~cancer$LUNG_CANCER,data=cancerp_pca)
## 
##  F test to compare two variances
## 
## data:  PC2 by cancer$LUNG_CANCER
## F = 1.4485, num df = 38, denom df = 269, p-value = 0.1008
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
##  0.9314439 2.4630293
## sample estimates:
## ratio of variances 
##           1.448528
var.test(PC3~cancer$LUNG_CANCER,data=cancerp_pca)
## 
##  F test to compare two variances
## 
## data:  PC3 by cancer$LUNG_CANCER
## F = 1.0697, num df = 38, denom df = 269, p-value = 0.7354
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
##  0.6878174 1.8188047
## sample estimates:
## ratio of variances 
##           1.069654
var.test(PC4~cancer$LUNG_CANCER,data=cancerp_pca)
## 
##  F test to compare two variances
## 
## data:  PC4 by cancer$LUNG_CANCER
## F = 0.95822, num df = 38, denom df = 269, p-value = 0.9115
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
##  0.6161645 1.6293318
## sample estimates:
## ratio of variances 
##          0.9582235
var.test(PC5~cancer$LUNG_CANCER,data=cancerp_pca)
## 
##  F test to compare two variances
## 
## data:  PC5 by cancer$LUNG_CANCER
## F = 0.97403, num df = 38, denom df = 269, p-value = 0.964
## alternative hypothesis: true ratio of variances is not equal to 1
## 95 percent confidence interval:
##  0.6263281 1.6562075
## sample estimates:
## ratio of variances 
##          0.9740294
# Levene's tests (one-sided)
library(car)
## Loading required package: carData
## 
## Attaching package: 'car'
## 
## The following object is masked from 'package:purrr':
## 
##     some
## 
## The following object is masked from 'package:dplyr':
## 
##     recode
(LTPC1 <- leveneTest(PC1~cancer$LUNG_CANCER,data=cancerp_pca))
## Warning in leveneTest.default(y = y, group = group, ...): group coerced to
## factor.
## Levene's Test for Homogeneity of Variance (center = median)
##        Df F value    Pr(>F)    
## group   1  15.948 8.155e-05 ***
##       307                      
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(p_PC1_1sided <- LTPC1[[3]][1]/2)
## [1] 4.077569e-05
(LTPC2 <- leveneTest(PC2~cancer$LUNG_CANCER,data=cancerp_pca))
## Warning in leveneTest.default(y = y, group = group, ...): group coerced to
## factor.
## Levene's Test for Homogeneity of Variance (center = median)
##        Df F value  Pr(>F)  
## group   1  2.8536 0.09219 .
##       307                  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(p_PC2_1sided=LTPC2[[3]][1]/2)
## [1] 0.04609283
(LTPC3 <- leveneTest(PC3~cancer$LUNG_CANCER,data=cancerp_pca))
## Warning in leveneTest.default(y = y, group = group, ...): group coerced to
## factor.
## Levene's Test for Homogeneity of Variance (center = median)
##        Df F value Pr(>F)
## group   1  0.0114 0.9149
##       307
(p_PC3_1sided <- LTPC3[[3]][1]/2)
## [1] 0.4574471
(LTPC4 <- leveneTest(PC4~cancer$LUNG_CANCER,data=cancerp_pca))
## Warning in leveneTest.default(y = y, group = group, ...): group coerced to
## factor.
## Levene's Test for Homogeneity of Variance (center = median)
##        Df F value Pr(>F)
## group   1   2e-04 0.9883
##       307
(p_PC4_1sided <- LTPC4[[3]][1]/2)
## [1] 0.4941392
(LTPC5 <- leveneTest(PC5~cancer$LUNG_CANCER,data=cancerp_pca))
## Warning in leveneTest.default(y = y, group = group, ...): group coerced to
## factor.
## Levene's Test for Homogeneity of Variance (center = median)
##        Df F value Pr(>F)
## group   1  0.0881 0.7668
##       307
(p_PC5_1sided <- LTPC5[[3]][1]/2)
## [1] 0.3833996
# Plotting the scores for the first and second components
plot(cancerp_pca$PC1, cancerp_pca$PC2,pch=ifelse(cancerp_pca$LUNG_CANCER == "YES",1,16),xlab="PC1", ylab="PC2", main="310 people against values for PC1 & PC2")
abline(h=0)
abline(v=0)
legend("bottomleft", legend=c("Cancer","No_Cancer"), pch=c(1,16))

plot(eigen_cancer, xlab = "Component number", ylab = "Component variance", type = "l", main = "Scree diagram")

plot(log(eigen_cancer), xlab = "Component number",ylab = "log(Component variance)", type="l",main = "Log(eigenvalue) diagram")

print(summary(cancer_pca))
## Importance of components:
##                           PC1    PC2     PC3     PC4     PC5     PC6     PC7
## Standard deviation     1.6925 1.3991 1.29946 1.21349 1.14175 1.03533 0.97690
## Proportion of Variance 0.1685 0.1152 0.09933 0.08662 0.07668 0.06305 0.05614
## Cumulative Proportion  0.1685 0.2837 0.38299 0.46961 0.54629 0.60934 0.66548
##                            PC8     PC9    PC10    PC11    PC12    PC13    PC14
## Standard deviation     0.94401 0.90315 0.84528 0.79577 0.76541 0.72853 0.71848
## Proportion of Variance 0.05242 0.04798 0.04203 0.03725 0.03446 0.03122 0.03037
## Cumulative Proportion  0.71790 0.76588 0.80791 0.84516 0.87962 0.91084 0.94121
##                           PC15    PC16    PC17
## Standard deviation     0.63523 0.56479 0.52625
## Proportion of Variance 0.02374 0.01876 0.01629
## Cumulative Proportion  0.96495 0.98371 1.00000
diag(cov(cancer_pca$x))
##       PC1       PC2       PC3       PC4       PC5       PC6       PC7       PC8 
## 2.8645733 1.9575778 1.6886084 1.4725468 1.3035915 1.0719035 0.9543405 0.8911585 
##       PC9      PC10      PC11      PC12      PC13      PC14      PC15      PC16 
## 0.8156856 0.7144905 0.6332509 0.5858596 0.5307591 0.5162084 0.4035160 0.3189926 
##      PC17 
## 0.2769370
xlim <- range(cancer_pca$x[,1])
cancer_pca$x[,1]
##   [1] -0.646329947 -0.610508061 -0.749550736  1.096019632  0.036188930
##   [6] -0.532567242 -2.543550172  2.572207921  1.272938608  1.396823254
##  [11]  2.064989024 -3.094017924  0.217887666 -3.138457875 -2.644849262
##  [16]  1.650628200 -2.832351242  1.926614145  2.058726013  0.277622753
##  [21]  3.229605844  1.856494117 -0.050480044 -3.114648178  0.277610744
##  [26] -0.593103049  0.798726715 -1.483179713  1.135171580 -1.513992882
##  [31]  1.249804903 -1.015659657  1.959456710  2.332965976  1.785139801
##  [36]  2.803119610 -0.906183428  0.625607571 -0.980782008 -2.531034433
##  [41] -1.849943675 -0.768929068  1.593703995 -1.913272210  1.543800949
##  [46]  0.292377930 -0.251600030  0.254838293  0.179367433  0.952911843
##  [51] -0.851848170  0.301087025 -0.906545994 -1.669956979  0.195017025
##  [56]  0.200650077  0.518073225 -1.831824121  0.685756178 -0.498748639
##  [61] -0.851501742  1.671406217 -1.102287719  0.487489582 -1.821523333
##  [66]  1.890194887 -0.908993115 -2.188253111  1.922127515  1.831473258
##  [71]  1.111645609  1.972055116 -3.014541351  0.297544932 -3.123513629
##  [76] -2.175119346  0.988165063 -3.171148404  1.909872378  1.884232732
##  [81]  0.148410514  3.159260208  1.589202745 -0.735262114 -2.492696658
##  [86]  0.164831585 -0.791080564  1.019972886  1.355490521 -0.217694604
##  [91]  0.200980870 -1.224091912 -1.377079915  1.105509567 -1.763739245
##  [96]  2.144246653 -0.247301899 -0.943580309  1.434728986 -3.084789560
## [101] -2.211988131  0.934186102 -3.134406710  1.829037095  1.889637650
## [106]  0.304495611  3.150251750  1.504721972 -0.513569276 -2.049787993
## [111] -0.548863117  0.137370850 -0.769133382  1.052948611 -0.832893079
## [116] -0.521560718 -2.590558669  2.565856126  1.890132650  1.809485293
## [121]  1.154753405 -3.068643554  0.603092803 -0.262265717 -2.166676433
## [126]  1.396820173 -2.621538470  1.904628487  2.449232521  0.346806820
## [131]  3.029389183  1.929414827 -0.087138867 -3.286936885 -0.243063096
## [136] -0.885383059  0.779845934 -1.475619881  1.315156524 -1.435594309
## [141]  0.311554205 -1.898169897  1.817982682  1.132188201  1.041211639
## [146]  1.911956582 -2.208254898  0.199618587 -3.151824202 -2.581152399
## [151] -1.821212050 -0.709027954  1.527353442  0.134446169  2.379419131
## [156]  1.816004356  0.693446059  1.637082331  0.296933463  0.822754284
## [161] -0.918911402  0.231900961 -1.013939681 -1.772694007  0.113097963
## [166]  0.075576812  0.477358107 -1.789229364  0.719595969 -0.479345237
## [171] -0.706487604  1.659264316 -1.053631487  0.439619994 -1.736485551
## [176]  1.908193822 -1.025193951 -2.229264288  1.957225328  1.838526733
## [181]  1.180112751  1.811861750 -3.110670459  0.360229263 -3.223541067
## [186] -2.269746579  2.747577269 -0.149697264  2.400777592  2.664155409
## [191]  0.613534144  2.833005133  3.117056920  1.396552964 -2.512642306
## [196]  0.041302770 -0.813244847  0.986709032  1.252252204 -0.137885258
## [201]  0.136542296 -1.270419897 -1.511779573  1.085397022 -1.937338444
## [206]  2.079880884 -0.238660237 -0.159651843  1.500566250 -3.014209221
## [211] -2.105058072  0.942418911 -3.148924082  1.878394695  1.966715740
## [216]  0.277041266  3.171498795  1.556928786 -0.616500433 -2.586211894
## [221]  0.137716815  0.865093182 -0.913971012  0.313977949 -1.072776501
## [226] -1.699472023  0.251825578  0.014567830  0.504752774 -1.698692239
## [231]  0.558690456 -0.464475998 -0.736607022  1.791907070 -1.021622690
## [236]  0.511871527 -1.857682768  1.973432877 -0.844025398  1.798603632
## [241]  0.567970913 -3.128591618  0.921300172 -0.707766669  0.727027732
## [246] -0.813209418  1.137562086 -1.568549443  0.206337661  0.582400965
## [251]  1.852485410  1.069824793  1.320083419  1.826416008 -2.295131492
## [256]  0.184324517 -3.143108851 -2.658851944 -1.871308247 -0.711591973
## [261]  1.686997211 -1.858110215 -0.009983675 -0.640492349 -2.667743902
## [266]  2.455060778  1.289042304  1.464834078  2.198079582 -2.876746306
## [271]  0.060055521 -3.142504794 -2.634807935  1.505301199 -2.740709424
## [276]  1.905774831  2.017633169  0.099735552  3.015656624  1.825438683
## [281] -0.131569292 -1.322834911  1.736775731 -0.592930367  1.928894090
## [286]  2.367428208  0.290098251  3.070879292  1.901858849 -0.148458186
## [291] -3.160670480 -0.350752444 -0.898366238  0.861502720 -1.473211209
## [296]  1.111453285 -1.529405423  0.258107397 -1.904656129  1.848956846
## [301]  1.150509115  1.152918867  1.932277477 -2.222289178  0.309135098
## [306] -3.290318919 -2.664442991 -1.831829290 -0.648431973
cancer_pca$x
##                 PC1          PC2         PC3          PC4          PC5
##   [1,] -0.646329947  0.332751806 -0.44274023  2.859184418  0.122598754
##   [2,] -0.610508061  0.058855781  0.83878638 -1.618262677 -1.600337930
##   [3,] -0.749550736 -1.504421159  2.66955055 -0.633003311 -0.554423032
##   [4,]  1.096019632  2.420201554 -1.33296429 -0.623882219 -1.620199492
##   [5,]  0.036188930 -1.476567174  1.06322075 -0.297399332  0.877535001
##   [6,] -0.532567242 -1.816704968  1.59490775  0.295408659  1.957759532
##   [7,] -2.543550172 -0.443750841  0.65879801 -0.490274648 -2.164652907
##   [8,]  2.572207921 -0.611692066  0.98184227 -0.400242160 -2.014776748
##   [9,]  1.272938608 -1.748902681 -2.03358144 -0.603715268 -0.190135930
##  [10,]  1.396823254  2.844502270 -1.74624933 -0.548914628 -0.481234509
##  [11,]  2.064989024 -1.179537297  0.77287410  1.619240317  0.200840281
##  [12,] -3.094017924 -0.236356800  0.18223710  0.351212010  1.270144781
##  [13,]  0.217887666 -2.889346007 -0.91100600 -1.432307481 -1.045267875
##  [14,] -3.138457875 -0.373951998 -0.53082600  0.580383563 -1.106225675
##  [15,] -2.644849262  1.404467949 -1.44318316  0.143100628  0.232452899
##  [16,]  1.650628200 -0.224745382  3.27395413 -0.093011818 -0.017887882
##  [17,] -2.832351242  0.682525475 -0.73821564 -0.010801951  0.679269335
##  [18,]  1.926614145  2.783633537 -0.57374848 -1.250303351 -1.057854292
##  [19,]  2.058726013 -1.588839942  1.68092889 -0.276981888 -0.505797399
##  [20,]  0.277622753 -2.858606054 -0.42259847 -2.045803131  0.939549144
##  [21,]  3.229605844 -1.107957864  0.54769701 -1.054795775 -1.494603821
##  [22,]  1.856494117  1.281078425  1.72529424  0.500791276  1.185679005
##  [23,] -0.050480044 -3.127406007 -3.04980327 -1.990025288 -0.705699392
##  [24,] -3.114648178 -0.180587030  0.10426359  0.266726364 -1.323963055
##  [25,]  0.277610744  3.357861077  0.49327829  0.917467589  0.437189391
##  [26,] -0.593103049  0.624184222  0.58814373  2.058674696 -0.508287510
##  [27,]  0.798726715  0.817444755  0.93374653 -0.444838292 -2.523918618
##  [28,] -1.483179713 -1.292781315  1.00754634  0.715640195  0.065334512
##  [29,]  1.135171580  0.783408309 -1.75430086  0.465724163 -0.417313447
##  [30,] -1.513992882 -1.471854090 -0.71445396  1.239531591  0.767188290
##  [31,]  1.249804903 -1.966549418 -1.89456009 -0.936322757 -0.643651435
##  [32,] -1.015659657  1.565562602 -1.96636100  0.688684179 -1.044736566
##  [33,]  1.959456710 -0.179323614 -1.66903462 -0.161407143 -1.632984057
##  [34,]  2.332965976  0.401390187  0.14559217 -1.127745419 -1.393041621
##  [35,]  1.785139801  1.845010472  0.27438022 -1.498888257 -1.437361903
##  [36,]  2.803119610 -0.463091900 -0.61631147 -1.129814399 -0.672500165
##  [37,] -0.906183428 -0.252869061  0.60868898 -0.552044454  0.490794665
##  [38,]  0.625607571 -1.096717211 -0.29615831 -1.482097111  1.247479925
##  [39,] -0.980782008 -0.452929695 -1.00809976 -1.791086031 -0.953341909
##  [40,] -2.531034433  1.054359249 -2.75170356  0.062941767  1.314619757
##  [41,] -1.849943675 -0.036969503 -0.70926167  0.528593229 -1.528261831
##  [42,] -0.768929068  0.787507023 -0.50866975  0.164717527  1.435220054
##  [43,]  1.593703995  0.429036798  1.52983078 -0.546232596  1.925341348
##  [44,] -1.913272210  0.172794143  0.20744605 -0.721150606 -1.789307797
##  [45,]  1.543800949  0.459571313 -1.73845136  0.640217881  2.124908844
##  [46,]  0.292377930  1.094376928  0.98377124  1.985566661 -0.599839321
##  [47,] -0.251600030  0.717276148  0.11116195 -0.575662628 -0.910947467
##  [48,]  0.254838293  0.616454646  0.11114292  1.765377472 -0.055649992
##  [49,]  0.179367433  1.125141361  2.32349723 -0.520119821  0.277971205
##  [50,]  0.952911843  1.162517658 -0.71030972 -2.443376329  1.135427261
##  [51,] -0.851848170  0.904980380  1.94819723 -2.525220801  0.637015235
##  [52,]  0.301087025 -0.841444915 -0.33470279  0.020924532 -0.407424612
##  [53,] -0.906545994  1.108874215  1.03521271  0.179671277 -0.804835301
##  [54,] -1.669956979  0.706463198  0.54089194  0.336371630 -0.952496542
##  [55,]  0.195017025 -0.473764877  0.02002028 -0.520758210  2.360776695
##  [56,]  0.200650077  2.716951889  1.41770341 -0.952121471  0.740632192
##  [57,]  0.518073225 -1.367268061  2.81032243 -0.783212228 -0.937364905
##  [58,] -1.831824121  1.109402015 -0.45190838 -0.415424258  1.192288451
##  [59,]  0.685756178 -0.408794213  0.31395717  0.052650501 -0.299515433
##  [60,] -0.498748639  0.460812608  0.14593215  1.348117096 -1.331297016
##  [61,] -0.851501742  1.873535014  1.07688266  1.057769336  1.654911975
##  [62,]  1.671406217 -0.423441611  0.01975544 -0.908557402  0.637102625
##  [63,] -1.102287719  0.573598828  1.07737079  0.769959205  1.589212310
##  [64,]  0.487489582  1.589885359 -0.52386479 -1.031169208  2.329019058
##  [65,] -1.821523333  0.607204567  2.39323915  0.916516254  0.021873142
##  [66,]  1.890194887  0.314196298  0.21915753  1.943292140  0.447955709
##  [67,] -0.908993115 -1.002601881  2.42194180 -0.792706294  0.098085784
##  [68,] -2.188253111 -1.295291142 -0.20414494  0.389988620 -0.418881441
##  [69,]  1.922127515 -0.483661450 -0.89450174  1.892882896 -0.799898913
##  [70,]  1.831473258 -1.208432390  0.77153641  2.788481409  0.126999960
##  [71,]  1.111645609  2.745232439 -1.90160470  0.587416793 -0.459646651
##  [72,]  1.972055116 -0.866834386  1.97362887  1.622670501 -1.020641169
##  [73,] -3.014541351  0.230927487  1.82358730 -0.870777134  0.323242135
##  [74,]  0.297544932 -3.341535872 -2.66498436 -0.870757883  0.580788533
##  [75,] -3.123513629 -0.202316474  0.02439536  0.353201837 -1.241766589
##  [76,] -2.175119346  0.619405502 -1.87693522 -0.203685676  0.728913726
##  [77,]  0.988165063  0.281111344  2.73257900  1.428695160  0.826564602
##  [78,] -3.171148404 -0.393624263 -0.52860137  0.462431181 -1.108134631
##  [79,]  1.909872378  2.594516335 -1.37039805 -0.316273317 -0.384527514
##  [80,]  1.884232732 -0.836929091  0.25971121  2.107873428 -1.134661282
##  [81,]  0.148410514 -2.759622666  0.17058795 -2.012337053 -0.253735238
##  [82,]  3.159260208 -1.376912455 -0.46218545 -0.031919056 -0.631448204
##  [83,]  1.589202745  3.215922052  1.45544104 -1.156249670 -0.416540691
##  [84,] -0.735262114 -0.558683606  0.06426583 -0.614419304  3.046112719
##  [85,] -2.492696658 -0.248148077  0.57351965 -1.485832190 -0.156211037
##  [86,]  0.164831585  1.067984585  0.76191427  0.778873264 -0.004490012
##  [87,] -0.791080564  1.277284906  0.13896203 -0.512508540  0.424119906
##  [88,]  1.019972886  1.038546046  0.67879987  0.166896049 -1.036950670
##  [89,]  1.355490521  1.048191345 -1.19753355 -1.835391137  0.487381401
##  [90,] -0.217694604  1.268039722  0.47349157 -1.166491895 -0.149140965
##  [91,]  0.200980870  1.569364821  0.23589533 -1.010042731  0.739065292
##  [92,] -1.224091912 -1.370670443  1.95314352 -1.673818763  0.298939223
##  [93,] -1.377079915  1.986294419  0.87166613 -2.146700312 -1.490469516
##  [94,]  1.105509567  1.009068862  0.89835083  0.952703555  1.771596512
##  [95,] -1.763739245  0.521690848  0.52910283 -1.278362192 -1.910301720
##  [96,]  2.144246653  1.031814241  0.70297021 -0.327085070 -1.299959938
##  [97,] -0.247301899  0.219966733 -1.52379872  0.759730600 -0.649174503
##  [98,] -0.943580309 -0.985801589 -2.47162486  0.257887623  0.377111320
##  [99,]  1.434728986  0.425244821  0.30490166  1.146598321  0.613218154
## [100,] -3.084789560 -0.318539996 -0.37773171  0.447133452 -1.342039635
## [101,] -2.211988131  0.291466382 -3.00610005  0.509360032  1.226245309
## [102,]  0.934186102  0.103006060  2.09662512  2.008597406  1.345721614
## [103,] -3.134406710 -0.118005299  0.30107545  0.285470960 -1.220197353
## [104,]  1.829037095  2.049999607 -3.14856312  0.573307112  0.274730687
## [105,]  1.889637650 -0.929392727 -0.06656941  2.287498244 -1.058126770
## [106,]  0.304495611 -2.796890852 -0.22372072 -2.193562275  0.775896724
## [107,]  3.150251750 -1.266687571 -0.15055069  0.047749838 -0.490198468
## [108,]  1.504721972  2.576287720 -0.70174306  0.107804727  0.494154681
## [109,] -0.513569276 -0.429919365  0.66685573 -2.146489489  1.272448570
## [110,] -2.049787993 -0.595265518 -1.39788656 -1.626354625  0.259757990
## [111,] -0.548863117  0.551657627  0.36348773  1.955891473 -0.754455175
## [112,]  0.137370850  1.157565543 -0.22654103  0.220013284 -2.581582640
## [113,] -0.769133382 -1.651851800  2.04076114  0.144667909  0.027932525
## [114,]  1.052948611  1.877461485 -3.18476295  0.436016597 -0.942808927
## [115,] -0.832893079 -1.520043078  1.23238975  0.789310913  1.071200271
## [116,] -0.521560718 -1.774839073  1.77212639  0.062067842  1.766517195
## [117,] -2.590558669 -0.606042808  0.07011790  0.065104794 -1.677476972
## [118,]  2.565856126 -0.636635561  0.90085819 -0.352743399 -1.971483866
## [119,]  1.890132650 -1.553285458 -0.21632974  2.489127348 -0.444483208
## [120,]  1.809485293  2.507239709  0.23379629 -0.904604737 -0.130106958
## [121,]  1.154753405 -0.820601807 -0.18191235  3.258811319 -0.010433839
## [122,] -3.068643554 -0.358110282 -0.17957410  0.278724442  1.079820384
## [123,]  0.603092803 -1.663570228 -0.81847194 -1.742527977 -1.373236514
## [124,] -0.262265717 -0.458918399  1.14583763  0.431171055  0.242487727
## [125,] -2.166676433  1.025027556 -2.44144452 -0.175700086  0.158619707
## [126,]  1.396820173 -1.775823130  0.44315452  0.164190546  1.111925399
## [127,] -2.621538470 -1.080128160 -1.50955976  0.829755886 -1.228986208
## [128,]  1.904628487  2.458422492 -1.72758409 -0.464085245 -0.547767196
## [129,]  2.449232521 -1.233115913  1.14940570  0.807738005 -1.464755784
## [130,]  0.346806820 -2.486510669  0.79296731 -2.700072211  0.411814347
## [131,]  3.029389183 -1.278867895  0.12853282  0.002537778 -1.822456522
## [132,]  1.929414827  1.312693320  1.78007480  0.409498610  0.912824308
## [133,] -0.087138867 -2.322217437 -0.65856528 -1.925296028 -0.156916374
## [134,] -3.286936885 -0.510578871 -1.06794608  1.550312925  0.014328320
## [135,] -0.243063096  3.265766261  0.36303718  0.455074271 -0.101216908
## [136,] -0.885383059 -0.103152291  0.79354384  1.149680047  0.191778725
## [137,]  0.779845934 -1.412199847 -1.48333758  0.232939883 -1.659993771
## [138,] -1.475619881 -1.358995678  0.78667103  0.785254199  0.063938933
## [139,]  1.315156524  1.874152974  1.90819130 -1.745565666 -2.120481240
## [140,] -1.435594309 -0.886655409  1.17170443  0.402456719  0.175080477
## [141,]  0.311554205 -1.503514600  1.98669876 -0.611745934 -0.377702324
## [142,] -1.898169897 -0.689807691 -1.77090536  1.813131302 -0.926438974
## [143,]  1.817982682 -0.274894663 -0.25700981  0.816135845 -1.374023354
## [144,]  1.132188201  0.097406071  1.56257454  1.507813279 -0.597525384
## [145,]  1.041211639  2.476633973 -2.22422610  0.853838815  0.789743107
## [146,]  1.911956582 -1.279682355  0.58493540  2.442926394 -0.412810097
## [147,] -2.208254898  0.244829063  1.39493556 -0.446948312 -0.084142771
## [148,]  0.199618587 -1.606668229 -0.56648477  0.211079060  1.819639955
## [149,] -3.151824202 -0.105442765  0.28680901  0.530946496 -0.974148171
## [150,] -2.581152399  1.660530129 -0.45658460 -0.913041511 -0.642489672
## [151,] -1.821212050  0.049106818 -0.42528735  0.326193983 -1.727503000
## [152,] -0.709027954  1.118219938  0.61257539 -0.562639222  0.859330817
## [153,]  1.527353442 -0.054701131 -0.07747901  0.328574008  2.559335815
## [154,]  0.134446169  0.264009802 -1.70348774 -1.428607876 -0.536373103
## [155,]  2.379419131 -0.094554298  0.55507534 -2.767771658  0.132335453
## [156,]  1.816004356  0.546117886 -3.21264766  0.454846344  0.862978356
## [157,]  0.693446059  0.977045613  0.26008812 -3.763916185 -2.021635959
## [158,]  1.637082331 -0.335000397 -2.05755169 -0.746108139 -0.416159349
## [159,]  0.296933463  1.194165867  2.60436670 -1.181630957 -0.546751798
## [160,]  0.822754284  0.670235764 -2.41335728 -1.103663683  2.312033587
## [161,] -0.918911402  0.663806963  1.18690797 -2.128116926  1.024959096
## [162,]  0.231900961 -1.270641543 -1.76967126  0.862961366  0.236368161
## [163,] -1.013939681  1.262821648  1.47304856  0.585206501 -0.098566521
## [164,] -1.772694007  0.767271176  0.63712578  0.973149028 -0.128283972
## [165,]  0.113097963 -0.357041885  0.30262585 -0.029388012  3.038456413
## [166,]  0.075576812  2.276081375 -0.14913244  0.428758735  1.958389064
## [167,]  0.477358107 -2.002383447  0.60892730  0.553159679 -0.100163895
## [168,] -1.789229364  1.010323518 -0.71414648 -0.663628669  0.826928708
## [169,]  0.719595969 -0.266957041  0.81937861 -0.376044152 -0.660229054
## [170,] -0.479345237  0.029424455 -1.25225042  1.746517856 -1.293222426
## [171,] -0.706487604  1.979788355  1.48164274  0.256635741  0.659195101
## [172,]  1.659264316 -0.669984273 -0.80889570 -0.497190062  0.868951875
## [173,] -1.053631487  0.418816948  0.64807542  0.512000760  1.171296835
## [174,]  0.439619994  1.347267284 -1.34471999 -0.491319346  2.768031869
## [175,] -1.736485551  0.889505297  3.31946123  0.301066951 -0.567055601
## [176,]  1.908193822  0.100984757 -0.40588659  1.869485714  0.234457926
## [177,] -1.025193951 -1.347023632  1.14815308  0.528994073  1.290656942
## [178,] -2.229264288 -1.622311063 -1.29643165  0.990124308  0.004899612
## [179,]  1.957225328 -0.433792361 -0.55469125  1.069085426 -1.511190662
## [180,]  1.838526733 -1.356872831  0.31115872  2.847776221  0.079447061
## [181,]  1.180112751  2.940457687 -1.22406253 -0.005852669 -1.024121550
## [182,]  1.811861750 -1.441142807  0.01690577  3.101211177  0.312426585
## [183,] -3.110670459 -0.364952154 -0.24358794  0.575227017  1.429197339
## [184,]  0.360229263 -2.696506149 -0.58357746 -1.726264724  0.050562343
## [185,] -3.223541067 -0.179218190  0.09257126  0.673772079 -0.685860956
## [186,] -2.269746579  0.759892939 -1.50517585  0.258232091  1.433596248
## [187,]  2.747577269 -0.892695063  0.37334010 -0.956311448  1.532003894
## [188,] -0.149697264 -1.642331214 -2.28814301 -1.471419303 -0.781235965
## [189,]  2.400777592  0.347128955 -1.71026348 -1.021489585  0.434261725
## [190,]  2.664155409 -1.393549647 -1.71837991  0.529051941  0.057805594
## [191,]  0.613534144 -1.458382780  0.89659577 -3.179203564  1.045150296
## [192,]  2.833005133 -1.403952109 -1.83872171 -0.412027674  0.480801518
## [193,]  3.117056920 -0.179410694 -1.10177848 -1.856855416  0.106854315
## [194,]  1.396552964 -0.642255545  0.02050933 -3.110585372  1.836705087
## [195,] -2.512642306  0.003850388  1.41044718 -1.765460899 -0.188561541
## [196,]  0.041302770  0.619388750 -0.80700898  2.078283851  1.142567875
## [197,] -0.813244847  0.880928753 -1.22887662  0.288977960  0.912007999
## [198,]  0.986709032  0.840164793  0.05264538  0.423153898 -0.837258657
## [199,]  1.252252204  0.988451934 -1.42301728 -1.323117294  1.159512551
## [200,] -0.137885258  1.481731866  1.13219939 -1.525196202 -0.559153131
## [201,]  0.136542296  1.207505130 -0.99116369 -0.216929658  1.363785406
## [202,] -1.270419897 -2.048452421 -0.26872446 -0.709046147  0.847964695
## [203,] -1.511779573  1.885698680  0.38947345 -1.030942437 -0.282150752
## [204,]  1.085397022  1.243127916  1.68487628  0.664169343  1.724253118
## [205,] -1.937338444  0.418609362 -0.03359575  0.232284332 -0.284578291
## [206,]  2.079880884  0.956433882  0.49279972 -0.166467991 -1.020841607
## [207,] -0.238660237  0.398472349 -1.03260961  0.864147837 -0.508793937
## [208,] -0.159651843 -1.132594137 -0.05598138 -1.013129749 -0.784261739
## [209,]  1.500566250  0.840189583  1.66536450  0.435082161  0.072426854
## [210,] -3.014209221  0.355964728  1.96591223 -1.080854377 -2.396209206
## [211,] -2.105058072  0.929924423 -0.80062808 -1.017803085  0.046453380
## [212,]  0.942418911  0.054526904  1.96648773  1.934291974  1.240767541
## [213,] -3.148924082 -0.594610120 -1.31041545  1.087399067 -0.793683557
## [214,]  1.878394695  2.398574133 -1.99024350 -0.062447648 -0.190863682
## [215,]  1.966715740 -0.630957885  1.05402026  1.155588169 -2.010604775
## [216,]  0.277041266 -2.759604202 -0.07945444 -2.231880620  0.846800791
## [217,]  3.171498795 -0.995402267  0.71278740 -0.251134699 -0.651266456
## [218,]  1.556928786  2.591469129 -0.66355483 -0.035006615  0.235938143
## [219,] -0.616500433 -0.513737474  0.21506585 -1.061891800  2.369939157
## [220,] -2.586211894 -0.187369377  0.72652260 -1.088595931  0.457090666
## [221,]  0.137716815  0.366509534 -0.16792988  0.543739987  0.849702117
## [222,]  0.865093182  0.844185218 -1.74842823 -1.798595288  1.737694179
## [223,] -0.913971012  0.969266395  1.97298215 -1.716775781  1.472684147
## [224,]  0.313977949 -0.945041768 -0.72531396  0.292773295 -0.288118442
## [225,] -1.072776501  0.599121897 -0.68085976  1.492600012  0.450812463
## [226,] -1.699472023  0.930082069  1.24714633  0.260609994 -0.813935347
## [227,]  0.251825578 -0.075337937  1.19428496 -0.695732642  2.249570554
## [228,]  0.014567830  2.117497330 -0.74689429  1.102971967  2.580198736
## [229,]  0.504752774 -1.860630264  1.15079860  0.009577708 -0.529532914
## [230,] -1.698692239  1.131623356 -0.33312414 -1.038468810  0.327760281
## [231,]  0.558690456 -0.191830970  0.83866091  0.887454211  0.824592143
## [232,] -0.464475998  0.564705610  0.54205784  0.907998903 -1.720403026
## [233,] -0.736607022  2.290777684  2.53098650 -0.131746814  0.602622034
## [234,]  1.791907070 -0.482831255 -0.20730594 -1.103593125  0.098407869
## [235,] -1.021622690  1.026768352  2.49920628  0.201024453  1.131623848
## [236,]  0.511871527  1.643341139 -0.30949731 -1.318210021  2.062253193
## [237,] -1.857682768  0.067118102  0.65282615  1.571807247  0.370261802
## [238,]  1.973432877  0.329461293  0.39577264  1.190688519 -0.369711578
## [239,] -0.844025398 -1.043350556  2.43615654 -1.497678287 -0.655538378
## [240,]  1.798603632  1.277822318  1.64041006  0.964305961  1.712072698
## [241,]  0.567970913 -1.465901428 -1.40821954 -1.475588124  1.328585265
## [242,] -3.128591618 -0.100406746  0.42598650 -0.002631206 -1.449540091
## [243,]  0.921300172  2.566347959  0.08444693 -0.327261230 -0.277565465
## [244,] -0.707766669 -0.140351712  0.50896513  0.494931879  0.794661098
## [245,]  0.727027732 -1.433071548 -1.59685113  0.593875654 -1.235796634
## [246,] -0.813209418 -1.199505257  0.40464481 -0.405256608 -0.735537650
## [247,]  1.137562086  1.419593842  0.28112686 -0.123186538 -0.567331492
## [248,] -1.568549443 -1.353854798 -0.38152350  1.471266594  1.164907662
## [249,]  0.206337661 -1.720761209  1.11360977  0.581416058  0.745153770
## [250,]  0.582400965 -1.654341741 -4.03720871  0.592072897  0.127026158
## [251,]  1.852485410  0.064395647  0.86057895  0.277190722 -1.725563610
## [252,]  1.069824793  0.099379354  1.64192217  1.436102237 -0.464752520
## [253,]  1.320083419  3.019301770 -0.60379759 -0.838972788  0.575723760
## [254,]  1.826416008 -1.528447714 -0.21991298  2.977344774  0.131843922
## [255,] -2.295131492  0.231836563  1.14798587  0.601866665  0.972169398
## [256,]  0.184324517 -1.188753076  0.66614989  0.264048756  2.108122913
## [257,] -3.143108851 -0.334761125 -0.41121557  0.580820285 -1.073009725
## [258,] -2.658851944  1.282851605 -1.79186198  0.149784893  0.220653288
## [259,] -1.871308247 -0.027948405 -0.67512508  0.569331753 -1.428769300
## [260,] -0.711591973  0.787827363 -0.51712533  0.015709149  1.149714717
## [261,]  1.686997211  0.200537154  0.82927435 -0.749102450  1.380292709
## [262,] -1.858110215 -0.038377392 -0.44768335 -0.780682656 -2.102146836
## [263,] -0.009983675 -1.961070989 -0.67218900  0.977524185  1.756913624
## [264,] -0.640492349 -2.449177339 -0.47626302  1.394993461  2.816254162
## [265,] -2.667743902 -0.624537600 -0.07078989  0.631216256 -1.022190383
## [266,]  2.455060778 -0.932060495 -0.13446506  0.605103847 -1.049802875
## [267,]  1.289042304 -1.784059560 -2.00134352 -1.157706179 -0.679250082
## [268,]  1.464834078  3.334018842 -0.17613207 -1.228668742 -0.968154666
## [269,]  2.198079582 -0.920094403  1.60613778  0.943922005 -0.588805903
## [270,] -2.876746306  0.339743512  2.19185099 -1.486040419 -0.507401063
## [271,]  0.060055521 -3.317302160 -2.37218122 -0.195895671  0.166259201
## [272,] -3.142504794 -0.257942521 -0.17738398  0.552812520 -1.059087544
## [273,] -2.634807935  1.168554355 -2.23638980  0.468363114  0.337151628
## [274,]  1.505301199 -0.740318106  1.46628345  1.427782791  1.331421460
## [275,] -2.740709424  0.722367627 -0.45692349 -0.908981952 -0.263057377
## [276,]  1.905774831  2.562920015 -1.43666755 -0.402881750 -0.453816513
## [277,]  2.017633169 -1.986659604  0.38967132  0.286357120 -0.144177349
## [278,]  0.099735552 -2.950607582 -0.86988372 -0.826878661  2.360250992
## [279,]  3.015656624 -1.371646389 -0.56504871  0.865577325  0.487728246
## [280,]  1.825438683  0.837995677  0.24336244  1.242694873  1.631988024
## [281,] -0.131569292 -2.296085695 -0.47529079 -2.174913004 -0.202269462
## [282,] -1.322834911 -1.037008743 -0.41131805 -1.699174863 -2.575108219
## [283,]  1.736775731  1.283284999 -1.49919175 -0.917952163 -1.119800076
## [284,] -0.592930367  0.224645288 -0.78024226  2.755903856 -0.168581495
## [285,]  1.928894090  2.708029329 -0.86288820 -1.014020749 -0.920456081
## [286,]  2.367428208 -1.947699135 -1.30903111  2.358687696 -0.378804689
## [287,]  0.290098251 -2.530916123  0.71152818 -2.701725928  0.558829150
## [288,]  3.070879292 -0.884056499  1.49195594 -0.861410776 -2.416739566
## [289,]  1.901858849  1.316866466  1.83316729  0.347207053  0.949670177
## [290,] -0.148458186 -2.510569491 -1.25163372 -1.591987828  0.190570397
## [291,] -3.160670480 -0.142895407  0.08071687  0.912125001 -0.674116273
## [292,] -0.350752444  2.762553158 -1.29900566  1.452158009  0.740670485
## [293,] -0.898366238 -0.174979956  0.55300720  1.296536856  0.308268936
## [294,]  0.861502720 -1.425901982 -1.64547390  0.420718507 -1.767384879
## [295,] -1.473211209 -1.294127913  1.01677328  0.634936076 -0.026911060
## [296,]  1.111453285  0.841309250 -1.52709178  0.333852745 -0.419205639
## [297,] -1.529405423 -1.178528936  0.25100317  0.921255092  0.711687244
## [298,]  0.258107397 -1.743891382  1.19553857 -0.139263124  0.027543069
## [299,] -1.904656129 -0.528637935 -1.18196439  1.415971336 -1.132951811
## [300,]  1.848956846  0.029663156  0.79616089  0.147726816 -1.830864913
## [301,]  1.150509115  0.284559833  2.21074344  1.095715426 -0.877160551
## [302,]  1.152918867  3.108695777 -0.10406543 -0.443281716 -0.231421332
## [303,]  1.932277477 -1.124180447  1.11643983  2.110205036 -0.653007261
## [304,] -2.222289178  0.217516381  1.31604101 -0.408380875 -0.025831892
## [305,]  0.309135098 -1.125563191  1.01347625 -0.729745122  1.004636281
## [306,] -3.290318919 -0.773981843 -1.92760392  1.864300336  0.137285445
## [307,] -2.664442991  1.297484746 -1.64793851 -0.204320402 -0.026482672
## [308,] -1.831829290  0.042083823 -0.43588975  0.322802182 -1.701712188
## [309,] -0.648431973  1.114788359  0.51649880 -0.439377745  0.770588458
##                  PC6           PC7          PC8          PC9          PC10
##   [1,]  0.7182594090  0.0900371245  1.051744451 -1.937650817  0.4989633841
##   [2,] -0.6772550951  1.9777064114 -1.557168739 -1.216866754 -0.5305604825
##   [3,]  1.1916488129 -1.2195053227 -0.411285727 -0.323523971 -0.1148162874
##   [4,]  1.7403584683  0.6091639642  0.258612735 -0.654105790 -0.2130147794
##   [5,]  2.1847893962  0.2198466952  1.845426766  0.627204075 -0.6014890431
##   [6,] -0.2480383908  1.4550678660  0.483870124  0.558138013 -0.2014692509
##   [7,]  0.9965416546 -0.8530147261  0.684045214 -0.285018564 -0.7811912336
##   [8,] -0.5055130553 -0.4251606584 -0.227317424  1.333349131  0.1917601304
##   [9,]  1.1709683751  0.1970313925 -1.162926497  0.312410711 -1.0231229714
##  [10,] -1.4206369931 -0.3235588013  0.045516341  0.241215288  1.0354175725
##  [11,] -0.9877439635 -0.2335341620  0.675723070 -0.141706192 -1.1092713774
##  [12,] -0.7610221388  0.7783351846 -0.103927236 -0.972945187  0.3836599781
##  [13,]  0.7356356660 -0.1182467785 -0.538078442  0.115259335 -0.8498243779
##  [14,] -0.3303380494 -0.4144204301  0.078712304  0.509575391 -0.1786395470
##  [15,]  0.8668959754  0.1542886143 -0.441232526  1.201097550 -0.7763798784
##  [16,] -1.0582597188 -0.7242179155  1.600738198  0.810017235  0.0978269150
##  [17,] -0.5049244711  1.7816022095 -0.061502145  0.001210227 -0.9101287848
##  [18,]  0.1840838476 -0.0442652608 -0.003095435 -0.819714203  0.2257921571
##  [19,]  0.4184360878  1.5182832851 -0.362960279  0.678886989 -0.0700320345
##  [20,] -0.1026575213  0.1029842000  0.139143879 -1.173656688  0.0186207447
##  [21,] -1.1480175988 -0.8296570774  0.839375250 -0.234943802 -0.0825857254
##  [22,]  1.3263081293 -0.4222197926  0.444424752  1.718445639 -0.4170879515
##  [23,] -3.4638911787 -2.6363622952  2.172674109  1.263816491  0.8334590948
##  [24,] -0.0004180954 -0.1158383494 -0.076506354  0.541266927 -0.3670905070
##  [25,] -0.2750442777  0.9287661421 -0.325823814  0.423680522 -0.5182746874
##  [26,]  1.0816548676  0.0640144973  1.274308400 -1.764172546  0.3344585771
##  [27,] -0.2832546918  1.2360719838 -0.187090224  0.315365054 -0.0554968227
##  [28,]  1.3433206731 -0.8591849926 -0.936163793 -1.220062630  0.4830794498
##  [29,] -1.6799924024 -0.0281633721  2.156630368 -1.020784884 -1.1447949606
##  [30,]  1.0710626285 -1.3284110672  1.834728862 -0.381994526  0.6811806747
##  [31,]  0.8185042829  0.1595997123  0.965113863  0.982824838 -0.1867421466
##  [32,] -0.5116245789  0.2213173362  0.411993823 -0.538385421 -1.0926900877
##  [33,]  1.2290071541  0.4714686091  1.461225803 -0.325889829 -0.2473663898
##  [34,] -0.0646666045  2.2433620737  0.710404490 -0.950511191 -0.7809675133
##  [35,]  2.4754853111  0.2893439181  0.923999043 -0.982576123  0.6579637222
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## [222,]  0.9478196676 -0.5524772989 -0.253200914 -0.863825131  0.5535381578
## [223,] -0.3074748126  0.0308155105 -2.454120724 -0.296762847 -0.6126684205
## [224,] -1.0298320649  1.0206780718  0.855237899  0.215226261 -0.5046193620
## [225,] -1.2212535442 -1.9376653665 -1.617638308  0.884574081 -0.6814473948
## [226,] -1.7503323526 -0.6239726748 -0.629460887 -0.312870598 -0.4785053719
## [227,] -0.0392305174  0.2615016712 -1.130505607  1.396462056  1.2579694919
## [228,]  0.2225209433  0.8615858150  1.402180848  0.064659209 -0.2595934931
## [229,]  0.7412912740 -0.8531850969 -0.013240528  0.088707514  2.0467880852
## [230,] -0.7891935436  0.5454448937  1.084975113 -0.692704938  1.1037826112
## [231,] -0.2848528400  0.0915404055 -0.959288153 -2.908879872  0.2430427710
## [232,]  0.3190198692  0.8987541821 -0.848630395  0.972090818  1.6721437422
## [233,] -0.3048533945 -0.8294496564 -0.274188663 -0.289207469  0.6960047812
## [234,]  2.2580891391 -0.3672360792  2.171436426  1.635181116  0.7586462447
## [235,]  2.2292543596 -0.0922318122 -1.411306251  1.281549337  0.2631799499
## [236,] -0.3527796009  0.1126639646  0.675632513 -0.094287409 -1.7323666455
## [237,] -0.0255121956 -0.9127629007 -0.187010389  0.243044661  1.7805492648
## [238,] -1.2341259405 -1.2470149473  0.454072898 -0.011152504 -0.5126806365
## [239,] -1.2742061293 -0.8500378489  2.645838204  0.780696755  0.9179201758
## [240,]  1.5845528807  0.3445231282 -0.272478651  1.454825603 -0.6233202025
## [241,] -1.1153339245  0.9284920103 -1.425772808  0.817089168 -0.3921075456
## [242,]  0.1514350674 -0.0946406719 -0.023153129  0.525905682 -0.4341328443
## [243,]  0.1200518159  2.0631355943 -0.104296840 -0.338243733 -1.3731108572
## [244,]  0.2027959021 -0.0849401635  1.463003500 -1.950875326 -0.9218141608
## [245,] -0.7978352078  1.1938858224 -0.299961432  0.614450844  0.9101726144
## [246,]  0.7396572613 -1.8187328378 -0.722086197 -1.493394128  0.4645379441
## [247,] -0.2925104736  1.7654731385  0.900472570 -1.224373692 -1.9931934779
## [248,]  1.5528942911 -0.3823914320  1.036454458 -0.647625094  0.3524471733
## [249,] -1.3878602134  0.1146013481 -0.164370679  1.656090276 -0.3786438121
## [250,]  0.8920970829 -0.2471013297 -1.020127228 -0.368418686 -0.1360227207
## [251,]  0.5619597323  0.8961292302 -1.334701366  0.379131211  0.2574922605
## [252,] -1.9119232499  0.6272419580 -0.040167086  0.267890918 -0.3638157824
## [253,] -0.6003662352 -0.0860071646  0.036601334 -0.492122827  1.7173048359
## [254,] -0.0075139193 -0.5445206700 -0.012862474  0.166851359 -0.9379488813
## [255,] -0.3317993324  1.3861884739  0.366675439 -0.608606841  0.8330237465
## [256,] -0.1633623299  0.3209166774 -1.432590791 -1.371786484 -0.0640701133
## [257,] -0.2232857151 -0.2414764424 -0.056790620  0.475449978 -0.2479260376
## [258,]  0.6025818559 -0.2811734954 -0.100457057  1.230327282 -0.5999538620
## [259,]  0.4170038534  1.6903016657 -0.874392374  0.326717780  0.5784111216
## [260,]  0.0002427880 -2.7793829806 -1.102881662 -0.225616264 -0.1222536990
## [261,]  0.1823409035 -1.1936153031  0.214544196 -0.186836394 -0.3278446880
## [262,] -1.2715304280 -2.7286452138 -0.103067971  0.538373097  0.3577129850
## [263,]  1.4670339885  0.0560863487  1.649570038  0.463640188 -0.2575170414
## [264,] -1.2367743349  0.6690005850  0.825026937  0.357533884  0.3547903089
## [265,]  1.1603304648  0.2564488286 -0.466493609 -0.784972182 -0.9809742273
## [266,] -0.7338553859 -0.0482649295 -0.773772879  0.957953335  0.2606999512
## [267,]  0.8889099300 -0.7066213845 -0.312820562  0.509747636 -0.7811957618
## [268,] -0.5705395526  0.5542518386 -0.472892785  0.313815624  0.5342072708
## [269,] -0.8512332042 -0.4827810745  1.036359939  0.228757735 -1.1577294509
## [270,] -0.3740756655  0.0417266096  0.932044033 -0.273332092  0.2768452963
## [271,]  0.4032019324  0.2527873889 -1.136724346 -0.363677374 -0.7277646423
## [272,] -0.0441355087  0.0294030664 -0.262150079  0.441155012 -0.3627821102
## [273,]  0.3577792653 -0.4086229346 -0.083707788  1.279164475 -0.4796391971
## [274,] -1.5531806436 -0.3803915162  0.949686923  0.343125451  0.2926302275
## [275,] -0.8756634804  0.4962594512  1.171716745  0.439440455 -0.5907452008
## [276,] -0.0669921990  0.2226560485 -0.428683876 -0.958918591  0.3034629867
## [277,] -0.3019960188  0.7735920022  0.079229910  0.654463086  0.3520907959
## [278,]  0.4308091328  1.8659576704 -1.545778625 -1.887880264 -0.4217303502
## [279,] -0.7519674960  1.2586366080 -1.278552065 -1.119937175 -0.5003505269
## [280,]  0.5227459304 -1.1517873688  0.828307407  1.701901555  0.0377575323
## [281,] -1.2891964728  0.7268513687 -0.413380030  0.633575030 -0.5561705670
## [282,]  0.0072723101  0.1177275082 -0.650013848  0.271424375  0.5749921706
## [283,]  1.3745317270 -1.0682943337  1.842989199 -0.939231198  1.3300725948
## [284,]  0.3001583816 -0.6476922795  1.653718382 -1.711975445  0.7720718709
## [285,]  0.0608953430 -0.0522280140 -0.057624847 -0.829450762  0.2804388426
## [286,] -0.3793650617 -0.7280509615  0.123139185  0.461371200  0.5299479216
## [287,]  0.4851285995  0.5384871928 -0.034959347 -1.162760972 -0.2992416890
## [288,]  0.7206171053 -0.5881867306  0.011350392  0.249568814 -0.3876300550
## [289,]  1.2655471357 -0.6204720310  0.636573907  1.855271946 -0.3714336955
## [290,] -1.6098224177  0.6667855015 -0.514808749  0.565964376 -0.4048883452
## [291,]  0.3830414208  1.0109341013 -1.123266595  0.241569021 -0.6783633899
## [292,] -0.6782178362  1.3000455823  0.767054107  0.198642605 -0.6140196286
## [293,]  1.6844910775 -0.0002079914  0.603823492 -1.555022296 -1.0310973402
## [294,] -1.1399821131  0.5706408517  0.225131480  1.006080236  1.1212419211
## [295,]  1.2939157922 -1.0000212360 -0.805579220 -1.173390048  0.5219335656
## [296,] -1.5209166720  0.1111558629  2.082635517 -1.083053578 -1.2292044177
## [297,]  1.7354934370 -0.5086166346  1.274213378 -0.507815962  0.2828894521
## [298,] -1.7703871607 -1.0686169716  0.945636813  1.981196497 -0.0611704156
## [299,]  0.6019869525 -0.0363752051  0.421560655 -0.836265536 -0.6174102949
## [300,]  0.4477745716  0.6016858070 -1.070264315  0.420841396  0.3475341540
## [301,] -1.7409282983  0.6768220842  0.003313970  0.460084373 -0.4587245723
## [302,]  1.0154864475 -0.0985800207 -0.643518629 -0.004429237  1.5584108132
## [303,]  0.4923718799 -0.3707895537  0.066845323  0.432132091 -1.1977180848
## [304,] -0.8242134745 -0.2005517233  1.866263998 -0.162230166  1.2491918924
## [305,] -0.5806708637 -1.0993056715 -0.071064434 -0.836025698  0.2882833788
## [306,] -0.5943934264  0.1107253930 -0.653395882  0.019173765 -0.1081640853
## [307,]  0.5500102538 -0.6588696646  0.287068731  1.294093947 -0.5254052273
## [308,]  0.4272639574  1.5292324864 -0.687199135  0.451762489  0.5889517563
## [309,]  0.5268382605 -2.2511204799 -1.404420153 -0.130277486 -0.4341384337
##                PC11          PC12         PC13         PC14          PC15
##   [1,]  0.420523565  0.4334820544  0.016896184  0.568431041  0.4383575733
##   [2,]  0.462308125  0.3986804449 -0.218844308  0.061830934 -2.0687208915
##   [3,] -1.315721292 -0.6118901582 -1.234182675  0.374500028  0.7773050725
##   [4,] -0.036031283 -0.2638657935 -0.338447239  0.010300783  0.5421504516
##   [5,] -0.912182701 -0.4352120930 -1.415924824  0.029107293  0.2282780957
##   [6,]  0.006675664  1.2983623838 -0.206751142 -0.234096001 -0.6232337130
##   [7,] -0.681612182 -0.4367979407  0.627895778 -0.126860747  0.5778337358
##   [8,]  1.570297126 -0.3494589711 -0.224076737  0.307935702 -0.1791024816
##   [9,]  0.588029356  1.3889527245  0.379929206  0.698899496  0.2331253689
##  [10,]  0.013843135 -0.3935900740  0.183078896 -0.531951622 -0.0795574606
##  [11,] -0.393455043 -0.8581065623  0.256269265 -0.857916040  0.0129291768
##  [12,]  0.012211427  0.7468853985  0.391100484  0.158685593 -0.2626260427
##  [13,]  0.249502857  0.0929055090 -0.044637030  0.616334219 -0.0808919597
##  [14,]  0.108202924  0.0621200579 -0.074766804 -0.009759719  0.1656639689
##  [15,] -0.894184802  0.6667391909 -0.134044309  0.395128230 -0.5965953711
##  [16,]  0.908454725 -0.2179462237  0.185976081 -0.004498742 -0.4711337983
##  [17,] -0.992433913 -0.7479697500 -0.485089739 -0.584556336 -0.1028938720
##  [18,] -0.796874258 -0.9948424816  0.538850685 -0.867448372  0.4749865902
##  [19,] -0.844001807 -0.4463708756  1.628548810 -0.604924292  0.2536040792
##  [20,]  0.320441162  0.1598941284 -0.096108696  0.385799068 -0.0495534724
##  [21,]  0.467789803 -1.2219438435  0.249408139 -0.731181079  0.4061416274
##  [22,]  0.411759401 -0.2953011717 -1.528031755  0.251766287 -0.3967280920
##  [23,]  0.951863976 -0.0769681900 -0.219517073  0.120893372 -0.3421600285
##  [24,]  0.095539826  0.0651550583  0.029651045 -0.012197733  0.1471579650
##  [25,] -0.734840381 -0.7561054781 -0.278001541 -1.273542765  0.0662511665
##  [26,]  0.494253801  0.0829017276 -0.087042222  0.335995178  0.6686192208
##  [27,]  1.219675724  0.3473208400 -0.118633159  1.409979591  1.0286389588
##  [28,] -1.041488146 -0.2161509584 -0.829347522 -0.448322267 -0.2646588750
##  [29,] -0.837946225  0.2926483701  0.133017998  1.000956763  0.8888048793
##  [30,]  0.404992386  0.1465291483  0.689510060 -0.526647777  0.4152453066
##  [31,] -0.863377283  0.8313440043  0.490013777  1.143399608 -0.8880189012
##  [32,]  1.135636716 -0.4148927197 -1.304990553  0.638676216  0.2022641052
##  [33,]  0.828808911 -0.6314252501 -0.319879928 -0.179981187 -0.9960511402
##  [34,] -1.045951865  0.0668733975 -0.398041733  0.851525389 -0.2799188786
##  [35,]  0.009148572  0.9825179146 -0.693330830  0.687387035 -0.9228988259
##  [36,]  0.003684991 -0.4452323697  0.131529168  0.435770915 -0.5539587221
##  [37,] -1.864892347 -0.2768934238 -1.318510710 -1.321186730 -0.2473171349
##  [38,] -0.021480573 -0.3037972350 -0.919328509  1.015139336 -1.1288114460
##  [39,] -1.480099028  0.0080071951 -0.864049795 -0.975689884 -0.4962413909
##  [40,] -1.149182018  0.1416856598 -0.300607468 -0.552503014 -0.3531137163
##  [41,]  0.806124346 -0.1179494334  0.638998799  0.611840391  0.4739033034
##  [42,]  2.023023934 -0.1990796775 -0.721549002 -0.445591628 -0.3057797375
##  [43,]  0.118601406  1.1488752332  1.127125769 -0.819164504  2.0210436648
##  [44,]  0.370000163 -0.3286131012 -0.391529217 -0.756123983  0.9131450099
##  [45,] -1.614973464 -1.2134306509  1.337189896  0.479254455 -0.7940825244
##  [46,] -0.822660699 -0.5381476425  1.351054267 -0.871938739  0.2867008044
##  [47,] -0.825820015 -1.4698517789 -1.565778171 -0.912485003 -1.6294596013
##  [48,] -1.665852215  0.3708029720  0.525802391  0.726885898  0.2313883640
##  [49,]  1.008512627 -0.1394632519 -0.443699967  0.933724085  1.2044084929
##  [50,]  0.400890266 -0.8467778863  1.276292343 -0.515240987  0.6590492803
##  [51,] -0.203704842  0.7304241801 -0.305652649  0.014290211  1.4018728347
##  [52,]  1.318968269  1.2676593358 -0.089367897 -2.200932157 -0.0105380974
##  [53,] -0.471740318  0.0747768687  0.312992783  1.462436004 -0.3283840429
##  [54,] -0.248509625 -0.7626119578  1.151848027  0.102037854 -1.1656168492
##  [55,]  0.059631997 -0.3422837836  0.631467132 -0.430910715  0.7213219035
##  [56,]  1.187959690 -0.3529930654  0.325920926 -0.635921694 -0.3963700610
##  [57,] -1.516700646 -0.5463492685 -0.689798999  0.290699987  0.6539578856
##  [58,]  0.063045575 -1.5632941214 -0.689317295  0.965257941 -1.1668081449
##  [59,] -0.585555242  0.3180404088 -0.613800091 -1.021079901 -0.7911169580
##  [60,]  0.168377749 -0.6514696533  0.427877290 -0.691209791  1.1214395016
##  [61,] -0.303937921  0.2195102429 -0.177772012 -0.966847954 -0.4534468747
##  [62,] -0.370589642  0.1881359754 -0.404935737  0.616217247  0.3213906647
##  [63,]  0.562045314  0.6087100581  0.546564854 -1.127522933  0.0423631652
##  [64,]  1.562104579  0.1679151372 -0.759164794  0.914358164  0.4221507490
##  [65,] -0.307419099  0.5669386920  0.323913746 -0.248765411  0.2401093667
##  [66,] -1.800555798  1.2416865299  0.546191663  0.025603755 -0.4886964204
##  [67,] -0.780803530  0.9680464791 -1.154511320 -0.234018960  0.2106001542
##  [68,]  0.243501794 -0.7449588229  0.901164989 -0.639258371  0.2572572643
##  [69,]  0.318511999  0.9865425504 -0.724604727  1.167513640 -0.3950871256
##  [70,] -0.155695975 -0.3662381423 -0.090378760 -0.082046491 -0.1027064113
##  [71,]  0.395563837 -0.6353653669 -1.046143203 -0.395446609  0.4200325778
##  [72,] -0.132154535 -0.2768798130  0.554030785  0.187167051 -0.2955056307
##  [73,]  0.118025861  0.2219809439  0.236114510 -0.198690863  0.0834334297
##  [74,] -0.140563287  0.1228052652  0.164854143  0.040425323 -0.2375809416
##  [75,]  0.089152229  0.0810432184  0.008917707 -0.013010484  0.1426505796
##  [76,]  0.252996727 -0.3221551566 -0.043456885 -0.401261618 -0.4983860014
##  [77,] -0.193686281  0.1925570034 -1.200835531  0.027174662  0.0545096490
##  [78,]  0.225428911 -0.5317507356 -0.751995565 -0.518521957  0.6561825798
##  [79,] -1.038563904  0.1303494327  1.505910954 -0.006619541 -0.3864339587
##  [80,] -0.999779797 -0.4491545309 -0.203159284  0.890661824 -0.0687494212
##  [81,]  0.736805720  0.0931148821 -0.548849539  0.929741566  0.1710456599
##  [82,]  0.331212303 -0.6604685218  0.483127310 -0.383953382  0.0299625586
##  [83,] -0.494038249 -0.1809526966 -0.693029162 -0.321202640  1.2130307510
##  [84,] -0.247720716 -1.9830952857 -0.064812692  0.673317030  0.2488693728
##  [85,]  0.293303760 -0.2526473413  0.760814035  0.442096802 -0.2483130580
##  [86,]  0.854198843 -1.0578870797  0.246599297  0.268291758  0.0528875299
##  [87,]  0.019427201 -0.7472741460 -0.315263937 -0.339431116  0.8530010449
##  [88,]  0.515099491  2.2369077013 -0.708746469 -0.099849514 -0.4085056983
##  [89,]  0.396677405  1.0281156094  1.251735506  0.365048538  0.6113069945
##  [90,] -0.196958743  0.1727445012 -0.175979624  0.251242033  0.3075061692
##  [91,] -0.908803697 -0.4641643806 -1.195676014  1.524708105  0.6341433167
##  [92,] -0.459819133  0.2415520696 -0.701715520  0.943060828 -0.4390341268
##  [93,]  0.577211676  0.8769549835  0.467237575 -0.293414270 -0.7410211870
##  [94,]  0.376024108 -0.5759689750  0.918623238  1.180562016 -0.2256674920
##  [95,]  0.376550480 -1.1251383134  0.986458836  0.529105777 -1.1761631521
##  [96,]  0.256931250  1.0610395622 -0.053629478  0.064945845 -0.5656595143
##  [97,] -0.478982591 -0.4067158254 -0.469145662  1.271401627  1.3387050869
##  [98,] -0.564062512 -3.0245294479  0.224081729 -0.554508893  0.2526254534
##  [99,]  1.600824809 -0.1890302916 -0.476698915 -0.651020429 -1.1351435908
## [100,]  0.031125975  0.5189074993  0.558725281  0.430966100 -0.2377379712
## [101,]  0.197998438  0.0167154008  0.111369110 -0.132114611 -0.7366617528
## [102,] -0.232379694  0.3170869111 -1.303548212  0.056202797  0.0039380143
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## [293,]  1.782082642 -0.8786251058  0.424369024  0.453352217  0.1686013563
## [294,]  0.262999653  2.5161366718  0.184353081  1.516995025 -0.0388854969
## [295,] -1.028991209 -0.2410878726 -0.813808730 -0.445286831 -0.2550268203
## [296,] -0.767768447 -0.1184498761 -0.336592138  0.625874697  1.2319341578
## [297,]  0.424298678 -0.1658003787  0.354749610 -0.877756151  0.6822191559
## [298,] -0.583145614 -0.3361529386  0.012495691 -1.390367906 -0.1025393108
## [299,] -0.021967799 -0.5455360842 -0.094936125 -0.461983720  1.6215068235
## [300,]  1.938133198 -0.6013023488 -0.357609883 -1.101025575 -0.7146842916
## [301,] -0.568533563 -0.1138279703 -0.613242911 -0.355154778 -0.0453825308
## [302,]  0.737361526  0.1736037657 -0.361233504  0.692900730 -0.0526630204
## [303,] -0.126718864 -0.2544281997  0.408186660  0.192943852 -0.2835720653
## [304,] -0.061479981  0.4313114021  0.099934079 -0.890448988  0.4808252877
## [305,]  0.093734175 -1.8826517649  1.632717238  1.431294242 -0.4038404559
## [306,]  0.087368328 -0.0350587299 -0.772962725 -0.292136488  0.3733408245
## [307,] -0.674268055 -0.2830235204 -1.093907597 -0.326910311  0.1536629841
## [308,]  0.814679485 -0.1524666351  0.681117266  0.601996141  0.4859256479
## [309,]  1.875453301  0.5883067607  0.490080068  0.307284192 -1.0199760971
##                PC16         PC17
##   [1,] -0.204699168  0.399778790
##   [2,]  0.045288943  0.292915024
##   [3,] -0.271595154 -0.814045516
##   [4,] -0.371673537  1.078203419
##   [5,]  0.734034423  0.516096799
##   [6,]  0.370839736  0.464690533
##   [7,] -0.322143489  0.050306784
##   [8,]  0.531051672  0.194644777
##   [9,] -1.124665269 -0.473960208
##  [10,]  0.076492553  0.033336741
##  [11,] -0.534141622 -0.128982341
##  [12,]  0.084037407 -0.456830857
##  [13,]  0.189629446  0.456895464
##  [14,] -0.016716439 -0.021511422
##  [15,]  0.006422442 -0.329564249
##  [16,] -0.225723824 -0.788232416
##  [17,]  0.487690414 -0.355745563
##  [18,] -0.216253994  0.281111017
##  [19,] -0.357368372 -0.574817902
##  [20,] -0.121585264  0.153361961
##  [21,] -0.325279346  0.341539699
##  [22,] -0.249217026 -0.517074387
##  [23,] -0.474336582  0.001382573
##  [24,]  0.020601136 -0.029383874
##  [25,] -0.421748563 -0.176386698
##  [26,] -0.375057468  0.459319241
##  [27,]  0.157050749  1.283191589
##  [28,]  0.172160415 -1.177121386
##  [29,]  0.840632915  0.308201578
##  [30,]  0.546906491  0.990041317
##  [31,]  1.833637726  0.602301402
##  [32,]  0.899009190 -0.685671003
##  [33,]  0.778795299  0.192681525
##  [34,]  0.282663097  0.192190653
##  [35,] -0.281726780 -0.102251797
##  [36,]  0.404702630  0.315448071
##  [37,]  0.252701007 -0.080408534
##  [38,]  0.835870432 -0.173405499
##  [39,]  0.794453324 -0.901139864
##  [40,] -0.664108490 -0.302257112
##  [41,] -0.699334673 -0.772619337
##  [42,]  0.302214498  0.526431365
##  [43,]  0.215644055  0.008363015
##  [44,]  1.218170500 -0.374050417
##  [45,] -0.107189826  1.558186080
##  [46,] -0.014697978 -0.110994738
##  [47,] -0.314501834  1.085094010
##  [48,] -0.453323188  1.568209576
##  [49,]  0.371135730 -0.880906339
##  [50,]  0.038378647 -1.504845090
##  [51,] -0.190277899 -0.215343711
##  [52,]  0.571180847 -0.485102183
##  [53,] -0.795216391  0.307609636
##  [54,]  0.101171607 -0.457206584
##  [55,] -0.836682394  1.227393045
##  [56,] -0.761838666  0.044936466
##  [57,] -0.093377912  0.519556971
##  [58,] -0.085545972  0.334201010
##  [59,]  0.820792154  0.214839663
##  [60,]  0.108966172 -0.162975362
##  [61,] -0.542958636  1.037635542
##  [62,] -1.090814185 -0.173869707
##  [63,]  0.397950756  0.601928262
##  [64,] -0.286457614 -0.316048608
##  [65,]  1.423427877  0.100505316
##  [66,] -1.311470262 -0.340525215
##  [67,] -0.360979053  0.384060109
##  [68,]  0.046545960  0.364930671
##  [69,]  0.851869088  0.039331283
##  [70,]  0.125575693  0.027204718
##  [71,]  0.339668208  0.511883358
##  [72,]  0.135095885 -0.227962988
##  [73,] -0.161028009 -0.359990351
##  [74,] -0.151488592  0.364242693
##  [75,]  0.032547772 -0.019961277
##  [76,] -0.125258951 -0.040086038
##  [77,] -0.314385878 -0.543428311
##  [78,] -0.335717440  0.228175597
##  [79,]  0.400994735 -0.072763914
##  [80,] -0.528254127  0.151448992
##  [81,]  0.139513375  0.283297565
##  [82,] -0.005952746  0.259756203
##  [83,]  0.220449326  0.205910512
##  [84,]  0.821389639 -0.280463409
##  [85,] -0.616768168 -0.143967535
##  [86,]  0.587250538  0.095098054
##  [87,] -0.057818756 -0.333248457
##  [88,] -0.618241629  0.030801222
##  [89,]  0.262114853  0.284029297
##  [90,] -0.441595058  0.570186068
##  [91,]  0.546853402  0.247395413
##  [92,] -0.954452414 -0.237225566
##  [93,] -0.690367526  0.648356547
##  [94,]  1.196418062 -0.755162981
##  [95,] -1.025634831  0.626103061
##  [96,] -0.491732734 -0.231372581
##  [97,]  0.162249355  0.180426095
##  [98,]  0.601243917 -0.104024116
##  [99,] -1.217306954 -0.042251874
## [100,]  0.210795257 -0.266528766
## [101,]  0.009178791 -0.140306083
## [102,] -0.239832184 -0.505299089
## [103,] -0.001081145  0.061331010
## [104,]  0.225753874  0.024185581
## [105,] -0.423907862  0.044826848
## [106,] -0.049813183  0.066391359
## [107,]  0.144666199  0.249381777
## [108,]  0.288291683  0.147150980
## [109,]  0.683932546 -0.766405649
## [110,] -0.165238363  0.413606088
## [111,] -0.311500803  0.275308649
## [112,]  0.470357058  0.841243335
## [113,]  0.222169322 -1.078565979
## [114,] -0.168079224  0.872922772
## [115,]  0.877633521  1.155793976
## [116,]  0.248481964  0.515447773
## [117,] -0.215599949  0.058770936
## [118,]  0.514993586  0.210590031
## [119,] -0.226150793 -0.086942561
## [120,]  0.289380434  0.313280968
## [121,]  0.215127207 -0.235851294
## [122,]  0.018379895 -0.540713487
## [123,] -0.445011923 -1.187395940
## [124,] -0.197477228  0.266806473
## [125,] -0.289242777 -0.037798448
## [126,] -0.565139828 -0.738008042
## [127,] -0.159623044 -0.074763111
## [128,]  0.075685920  0.058279950
## [129,] -0.639909303  0.323712286
## [130,]  0.029766279  0.032157735
## [131,]  0.251431807  0.393080370
## [132,]  0.099890861 -0.888438144
## [133,]  0.278208194  0.028194637
## [134,] -0.035768643  0.342225755
## [135,] -0.465900314 -0.053961025
## [136,] -0.579918745 -0.349760333
## [137,]  0.000772863  0.151658109
## [138,]  0.209223668 -1.243826974
## [139,]  0.869070173  0.233877079
## [140,]  0.805399365  0.872283165
## [141,]  0.341425105  0.022592252
## [142,] -0.684397168 -0.936264140
## [143,]  0.869141848 -0.006288726
## [144,] -0.404210072 -0.522821842
## [145,]  0.676296036 -0.021386986
## [146,]  0.152334617 -0.236617040
## [147,]  0.100548266  0.546407053
## [148,] -0.614292886  0.646342147
## [149,]  0.157997524  0.030636773
## [150,] -0.396764299 -0.190573406
## [151,] -0.644069677 -0.846298375
## [152,]  0.284353292  0.503158969
## [153,]  0.173424869  0.019842343
## [154,]  0.044405912 -0.388242074
## [155,]  0.824834606  0.325438074
## [156,]  0.121962865 -0.861216712
## [157,] -0.442513188  0.702610115
## [158,]  0.793495320  0.334082201
## [159,]  0.447669504 -1.216843843
## [160,]  0.090886418 -1.371108370
## [161,] -0.438017503  0.002962693
## [162,]  0.541409695 -0.450589729
## [163,] -0.820401346  0.677621810
## [164,]  0.226252313 -0.216161914
## [165,] -0.677481397  1.415588471
## [166,] -0.583691233  0.119191040
## [167,]  0.293109180  0.174793193
## [168,] -0.203669862  0.239594626
## [169,]  0.743351273  0.219123542
## [170,]  0.130802257 -0.400058587
## [171,] -0.410579567  0.611738612
## [172,] -1.026212619 -0.272878294
## [173,]  0.242101208  0.488238862
## [174,] -0.288948646 -0.279987488
## [175,]  1.601354083 -0.114113845
## [176,] -1.520591312 -0.365248874
## [177,] -0.085103098  0.421068268
## [178,]  0.047903515  0.346408715
## [179,]  0.290577969  0.257721538
## [180,]  0.058594121 -0.016260362
## [181,]  0.351179366  0.395519794
## [182,]  0.067019098  0.018984832
## [183,]  0.069867765 -0.454941763
## [184,]  0.068081891  0.334040887
## [185,] -0.180412417  0.376233283
## [186,] -0.039127144  0.230944364
## [187,] -0.461598407 -0.299418857
## [188,] -0.863571623  0.415674312
## [189,]  0.164826381 -0.745791996
## [190,]  0.055938829 -0.226902271
## [191,] -1.130935409  0.447494847
## [192,] -0.780931794 -0.127862513
## [193,] -0.218573295 -0.492468351
## [194,] -0.164408869 -0.368908455
## [195,] -0.723395579  0.067538846
## [196,]  0.685196206  0.204171257
## [197,]  0.169355098 -0.549958598
## [198,] -0.769993878  0.122808536
## [199,]  0.128325234  0.614367708
## [200,] -0.115885447  0.264880595
## [201,]  0.569809145  0.268030342
## [202,] -1.012129894 -0.350160623
## [203,] -0.449618464  0.852052206
## [204,]  1.060227957 -0.534824136
## [205,] -0.614394865  0.846168128
## [206,] -0.773683331  0.063697140
## [207,]  0.510641502  0.044842721
## [208,]  0.539028601 -0.851370448
## [209,] -1.093386790 -0.122726928
## [210,] -0.155246654  0.001096426
## [211,] -0.194613598 -0.072297240
## [212,] -0.321072705 -0.504598778
## [213,]  0.179998006 -0.184224234
## [214,]  0.259444768  0.009943970
## [215,] -0.780618138  0.139516314
## [216,] -0.198320989  0.234820841
## [217,]  0.268641865  0.234126153
## [218,]  0.453731649 -0.077289733
## [219,]  1.088579218 -0.729502626
## [220,] -0.676442863  0.168806418
## [221,]  0.347355852 -1.056801166
## [222,] -0.165990170 -1.283069689
## [223,]  0.332638512 -0.293672149
## [224,]  0.795452124 -0.679781217
## [225,] -0.988260241  0.662611902
## [226,]  0.110787399 -0.291810588
## [227,] -0.252893278  0.923464117
## [228,] -0.433616613  0.144755671
## [229,]  0.066773967  0.275017663
## [230,]  0.063241523 -0.101200129
## [231,]  1.179012497  0.462607684
## [232,] -0.019352945 -0.148293626
## [233,] -0.615282088  0.926318797
## [234,] -0.681058673 -0.744278153
## [235,]  0.786713435  0.356755296
## [236,] -0.374744887 -0.315348333
## [237,]  1.269945960  0.064941224
## [238,] -1.574325649 -0.425168932
## [239,] -0.740202720  0.388446323
## [240,] -0.117226699 -0.428558305
## [241,]  0.955826543 -0.268608022
## [242,] -0.232986784  0.174246513
## [243,] -0.030911579 -0.178010067
## [244,] -1.116037385 -0.443587411
## [245,]  0.040368748  0.267750892
## [246,]  1.404264474 -1.478292614
## [247,]  0.978839680  0.483021714
## [248,]  0.603511293  1.157426119
## [249,]  0.692486224  0.040663628
## [250,] -0.722358199 -0.980492359
## [251,]  0.905558470  0.015177064
## [252,] -0.818092266 -0.133033980
## [253,]  0.321527445 -0.257408901
## [254,] -0.070998352  0.016638914
## [255,]  0.637360258  0.497985009
## [256,] -0.183950774  0.629102932
## [257,]  0.001359994 -0.002573657
## [258,] -0.199281757 -0.231513525
## [259,] -0.767591488 -0.674397629
## [260,]  0.473512663  0.278870895
## [261,]  0.279643315 -0.373044027
## [262,]  1.231233143 -0.616917441
## [263,]  1.196629303  0.206480172
## [264,]  0.154833871  0.622433628
## [265,] -0.106378218  0.206223917
## [266,]  0.516903811  0.396282048
## [267,] -1.619758037 -0.272082445
## [268,]  0.326323508 -0.089511243
## [269,] -0.174273385 -0.580481396
## [270,]  0.117172450 -0.841650045
## [271,]  0.058390380  0.788983893
## [272,]  0.062226434 -0.005549539
## [273,]  0.120922819 -0.511551264
## [274,] -0.104788706 -0.658045736
## [275,]  0.155305470 -0.417142635
## [276,]  0.258037515  0.001018338
## [277,] -0.471111047 -0.560894424
## [278,] -0.009003091  0.546602298
## [279,]  0.087872999  0.607421705
## [280,] -0.181710770 -0.644080424
## [281,] -0.184704565  0.404085944
## [282,]  0.381975583 -0.300021491
## [283,] -0.599984450 -0.026298504
## [284,] -0.130302106  0.170677295
## [285,] -0.054769022  0.159784347
## [286,] -0.357835410  0.115076387
## [287,] -0.335197519  0.362168104
## [288,]  0.068117172  0.532982330
## [289,] -0.109459288 -0.700975579
## [290,]  0.057996353  0.237331002
## [291,]  0.442745185 -0.109642684
## [292,] -0.638324403  0.131842402
## [293,] -0.586836031 -0.339105240
## [294,]  0.622801658 -0.405256743
## [295,]  0.146444590 -1.191554915
## [296,]  0.643560584  0.500112321
## [297,]  0.473122824  1.188323428
## [298,]  0.244203227  0.124670211
## [299,] -0.932773979 -0.723538859
## [300,]  0.720091571  0.108483530
## [301,] -0.501085666 -0.447556210
## [302,]  0.718340959 -0.098268391
## [303,]  0.109617474 -0.207952469
## [304,]  0.030515055  0.610897882
## [305,] -0.400852865  0.425130764
## [306,] -0.037178820  0.247090067
## [307,] -0.562633443 -0.019336438
## [308,] -0.714004235 -0.783153726
## [309,]  0.737576367  0.096973111
plot(cancer_pca$x,xlim=xlim,ylim=xlim)

cancer_pca$rotation[,1]
##                GENDER                   AGE               SMOKING 
##          0.3210475112         -0.0364649541          0.0430283442 
##        YELLOW_FINGERS               ANXIETY         PEER_PRESSURE 
##          0.3814759828          0.4033326977          0.3069045925 
##       CHRONIC DISEASE               FATIGUE               ALLERGY 
##          0.0902654180         -0.1024499601         -0.2493507498 
##              WHEEZING     ALCOHOL_CONSUMING              COUGHING 
##         -0.2442608884         -0.3321543572         -0.2792205789 
##   SHORTNESS OF BREATH SWALLOWING DIFFICULTY            CHEST PAIN 
##         -0.1417347885          0.2925413504         -0.2335726303 
##                WEIGHT           HEIGHT_INCH 
##         -0.0003161562          0.0485449546
cancer_pca$rotation
##                                 PC1          PC2         PC3         PC4
## GENDER                 0.3210475112 -0.286879473  0.17379787 -0.07237418
## AGE                   -0.0364649541  0.030795541  0.04688999  0.27943243
## SMOKING                0.0430283442 -0.003424731 -0.31567559  0.10751874
## YELLOW_FINGERS         0.3814759828  0.128104954  0.13853036  0.29389320
## ANXIETY                0.4033326977  0.205543431 -0.07469222  0.26312783
## PEER_PRESSURE          0.3069045925  0.105788877  0.22315119  0.15097246
## CHRONIC DISEASE        0.0902654180  0.066353796  0.10570086 -0.32228900
## FATIGUE               -0.1024499601 -0.391147209  0.29985430  0.20127738
## ALLERGY               -0.2493507498  0.239694551  0.12271547 -0.02157728
## WHEEZING              -0.2442608884  0.124539773  0.26727611  0.32565680
## ALCOHOL_CONSUMING     -0.3321543572  0.413483478 -0.08463899  0.03187039
## COUGHING              -0.2792205789 -0.058744485  0.24960914  0.42897511
## SHORTNESS OF BREATH   -0.1417347885 -0.424686551  0.17846341  0.18710306
## SWALLOWING DIFFICULTY  0.2925413504  0.343624495  0.11855529  0.25354529
## CHEST PAIN            -0.2335726303  0.316920719  0.02654379  0.06741104
## WEIGHT                -0.0003161562  0.138055198  0.49723646 -0.33025021
## HEIGHT_INCH            0.0485449546  0.155477544  0.49241846 -0.27906767
##                               PC5         PC6         PC7         PC8
## GENDER                 0.20073240 -0.24182352  0.01184223 -0.03985594
## AGE                    0.33787243  0.23970537  0.59890223 -0.53931034
## SMOKING               -0.52742230 -0.22454151  0.15463295 -0.20038365
## YELLOW_FINGERS        -0.02429773  0.03987572  0.14776817  0.31135018
## ANXIETY               -0.14203498  0.02100195  0.25209607  0.16394901
## PEER_PRESSURE          0.09868719 -0.13237811 -0.39679983 -0.48888049
## CHRONIC DISEASE        0.34336849 -0.58708763  0.27268807  0.16305791
## FATIGUE               -0.19343265 -0.19872006 -0.17492007 -0.30793949
## ALLERGY                0.06195362 -0.42347967  0.18154792 -0.13304550
## WHEEZING               0.15239622 -0.07376779 -0.30344915  0.23592177
## ALCOHOL_CONSUMING      0.10964754 -0.04578332 -0.04969458 -0.01545999
## COUGHING               0.13819136  0.11156157  0.09656026  0.21956243
## SHORTNESS OF BREATH   -0.26321037 -0.22493715  0.29003504  0.21690138
## SWALLOWING DIFFICULTY -0.08485041 -0.18711304 -0.12109907  0.02088317
## CHEST PAIN            -0.36362550 -0.22121918  0.06275957 -0.11472139
## WEIGHT                -0.18496760  0.24504959  0.13211070 -0.01887354
## HEIGHT_INCH           -0.28364547  0.18977120  0.11161979 -0.01894483
##                                PC9         PC10        PC11        PC12
## GENDER                 0.281223963 -0.244510475 -0.19864542  0.05106762
## AGE                   -0.181259271 -0.179178546 -0.05135663  0.09966744
## SMOKING                0.339753798 -0.456246291 -0.21657468 -0.12513209
## YELLOW_FINGERS         0.158443155  0.321656428 -0.15293052  0.26549819
## ANXIETY               -0.025925593 -0.006524112  0.32378188  0.05972929
## PEER_PRESSURE          0.096840684  0.223908923 -0.20262510 -0.31742172
## CHRONIC DISEASE       -0.258475999 -0.054485578 -0.19258350 -0.03483907
## FATIGUE               -0.196587965  0.100942472  0.31336340  0.29668046
## ALLERGY                0.539524367  0.193301357  0.42374977  0.12050452
## WHEEZING              -0.038620686 -0.568302398 -0.07283366  0.28908157
## ALCOHOL_CONSUMING     -0.031951385 -0.019777592  0.14861759 -0.21687274
## COUGHING               0.309583479  0.133044654 -0.28342941 -0.32037459
## SHORTNESS OF BREATH   -0.217039867  0.069598604  0.09520010 -0.35152144
## SWALLOWING DIFFICULTY -0.312852651 -0.209578384  0.23533684 -0.25912909
## CHEST PAIN            -0.292637073  0.281207000 -0.49725726  0.21746471
## WEIGHT                 0.003135894 -0.124979041  0.06520556 -0.37197858
## HEIGHT_INCH            0.109288894 -0.106118071 -0.05641311  0.28916542
##                              PC13        PC14        PC15        PC16
## GENDER                -0.15894162  0.55185603  0.36640789 -0.08405264
## AGE                   -0.04778967 -0.01222126 -0.04085982  0.10718595
## SMOKING                0.17075516 -0.24864171 -0.03445354 -0.03818447
## YELLOW_FINGERS         0.04413678 -0.28524951  0.08772850  0.24449863
## ANXIETY                0.07894326  0.02454333  0.36258509 -0.24996070
## PEER_PRESSURE          0.11049565 -0.16437026  0.05166587  0.26450112
## CHRONIC DISEASE        0.26824464 -0.30220749 -0.07820030 -0.16153534
## FATIGUE                0.23102739 -0.15679639  0.13579435 -0.35854302
## ALLERGY               -0.27698525  0.00347222 -0.14402150  0.09185413
## WHEEZING              -0.15780709 -0.21356468  0.10523380  0.20530205
## ALCOHOL_CONSUMING      0.47755491  0.19969356  0.50074175  0.13770113
## COUGHING               0.17712228  0.07652517 -0.18263798 -0.45814232
## SHORTNESS OF BREATH   -0.01819713  0.11879426  0.04977730  0.51704680
## SWALLOWING DIFFICULTY -0.12461765  0.28371676 -0.44270428 -0.11953032
## CHEST PAIN            -0.30203928  0.21227649  0.16091658 -0.11875744
## WEIGHT                -0.33879401 -0.31881843  0.29309129 -0.17393309
## HEIGHT_INCH            0.46330708  0.27552099 -0.26518467  0.16642627
##                              PC17
## GENDER                 0.16314656
## AGE                    0.05623413
## SMOKING                0.12035893
## YELLOW_FINGERS         0.48817125
## ANXIETY               -0.54709508
## PEER_PRESSURE         -0.29176685
## CHRONIC DISEASE       -0.07288202
## FATIGUE                0.20916257
## ALLERGY               -0.05062214
## WHEEZING              -0.18401827
## ALCOHOL_CONSUMING      0.29244662
## COUGHING              -0.07868837
## SHORTNESS OF BREATH   -0.11319831
## SWALLOWING DIFFICULTY  0.30009780
## CHEST PAIN            -0.07706518
## WEIGHT                 0.14740550
## HEIGHT_INCH           -0.15886979
plot(cancer[,-1])

cancer_pca$x
##                 PC1          PC2         PC3          PC4          PC5
##   [1,] -0.646329947  0.332751806 -0.44274023  2.859184418  0.122598754
##   [2,] -0.610508061  0.058855781  0.83878638 -1.618262677 -1.600337930
##   [3,] -0.749550736 -1.504421159  2.66955055 -0.633003311 -0.554423032
##   [4,]  1.096019632  2.420201554 -1.33296429 -0.623882219 -1.620199492
##   [5,]  0.036188930 -1.476567174  1.06322075 -0.297399332  0.877535001
##   [6,] -0.532567242 -1.816704968  1.59490775  0.295408659  1.957759532
##   [7,] -2.543550172 -0.443750841  0.65879801 -0.490274648 -2.164652907
##   [8,]  2.572207921 -0.611692066  0.98184227 -0.400242160 -2.014776748
##   [9,]  1.272938608 -1.748902681 -2.03358144 -0.603715268 -0.190135930
##  [10,]  1.396823254  2.844502270 -1.74624933 -0.548914628 -0.481234509
##  [11,]  2.064989024 -1.179537297  0.77287410  1.619240317  0.200840281
##  [12,] -3.094017924 -0.236356800  0.18223710  0.351212010  1.270144781
##  [13,]  0.217887666 -2.889346007 -0.91100600 -1.432307481 -1.045267875
##  [14,] -3.138457875 -0.373951998 -0.53082600  0.580383563 -1.106225675
##  [15,] -2.644849262  1.404467949 -1.44318316  0.143100628  0.232452899
##  [16,]  1.650628200 -0.224745382  3.27395413 -0.093011818 -0.017887882
##  [17,] -2.832351242  0.682525475 -0.73821564 -0.010801951  0.679269335
##  [18,]  1.926614145  2.783633537 -0.57374848 -1.250303351 -1.057854292
##  [19,]  2.058726013 -1.588839942  1.68092889 -0.276981888 -0.505797399
##  [20,]  0.277622753 -2.858606054 -0.42259847 -2.045803131  0.939549144
##  [21,]  3.229605844 -1.107957864  0.54769701 -1.054795775 -1.494603821
##  [22,]  1.856494117  1.281078425  1.72529424  0.500791276  1.185679005
##  [23,] -0.050480044 -3.127406007 -3.04980327 -1.990025288 -0.705699392
##  [24,] -3.114648178 -0.180587030  0.10426359  0.266726364 -1.323963055
##  [25,]  0.277610744  3.357861077  0.49327829  0.917467589  0.437189391
##  [26,] -0.593103049  0.624184222  0.58814373  2.058674696 -0.508287510
##  [27,]  0.798726715  0.817444755  0.93374653 -0.444838292 -2.523918618
##  [28,] -1.483179713 -1.292781315  1.00754634  0.715640195  0.065334512
##  [29,]  1.135171580  0.783408309 -1.75430086  0.465724163 -0.417313447
##  [30,] -1.513992882 -1.471854090 -0.71445396  1.239531591  0.767188290
##  [31,]  1.249804903 -1.966549418 -1.89456009 -0.936322757 -0.643651435
##  [32,] -1.015659657  1.565562602 -1.96636100  0.688684179 -1.044736566
##  [33,]  1.959456710 -0.179323614 -1.66903462 -0.161407143 -1.632984057
##  [34,]  2.332965976  0.401390187  0.14559217 -1.127745419 -1.393041621
##  [35,]  1.785139801  1.845010472  0.27438022 -1.498888257 -1.437361903
##  [36,]  2.803119610 -0.463091900 -0.61631147 -1.129814399 -0.672500165
##  [37,] -0.906183428 -0.252869061  0.60868898 -0.552044454  0.490794665
##  [38,]  0.625607571 -1.096717211 -0.29615831 -1.482097111  1.247479925
##  [39,] -0.980782008 -0.452929695 -1.00809976 -1.791086031 -0.953341909
##  [40,] -2.531034433  1.054359249 -2.75170356  0.062941767  1.314619757
##  [41,] -1.849943675 -0.036969503 -0.70926167  0.528593229 -1.528261831
##  [42,] -0.768929068  0.787507023 -0.50866975  0.164717527  1.435220054
##  [43,]  1.593703995  0.429036798  1.52983078 -0.546232596  1.925341348
##  [44,] -1.913272210  0.172794143  0.20744605 -0.721150606 -1.789307797
##  [45,]  1.543800949  0.459571313 -1.73845136  0.640217881  2.124908844
##  [46,]  0.292377930  1.094376928  0.98377124  1.985566661 -0.599839321
##  [47,] -0.251600030  0.717276148  0.11116195 -0.575662628 -0.910947467
##  [48,]  0.254838293  0.616454646  0.11114292  1.765377472 -0.055649992
##  [49,]  0.179367433  1.125141361  2.32349723 -0.520119821  0.277971205
##  [50,]  0.952911843  1.162517658 -0.71030972 -2.443376329  1.135427261
##  [51,] -0.851848170  0.904980380  1.94819723 -2.525220801  0.637015235
##  [52,]  0.301087025 -0.841444915 -0.33470279  0.020924532 -0.407424612
##  [53,] -0.906545994  1.108874215  1.03521271  0.179671277 -0.804835301
##  [54,] -1.669956979  0.706463198  0.54089194  0.336371630 -0.952496542
##  [55,]  0.195017025 -0.473764877  0.02002028 -0.520758210  2.360776695
##  [56,]  0.200650077  2.716951889  1.41770341 -0.952121471  0.740632192
##  [57,]  0.518073225 -1.367268061  2.81032243 -0.783212228 -0.937364905
##  [58,] -1.831824121  1.109402015 -0.45190838 -0.415424258  1.192288451
##  [59,]  0.685756178 -0.408794213  0.31395717  0.052650501 -0.299515433
##  [60,] -0.498748639  0.460812608  0.14593215  1.348117096 -1.331297016
##  [61,] -0.851501742  1.873535014  1.07688266  1.057769336  1.654911975
##  [62,]  1.671406217 -0.423441611  0.01975544 -0.908557402  0.637102625
##  [63,] -1.102287719  0.573598828  1.07737079  0.769959205  1.589212310
##  [64,]  0.487489582  1.589885359 -0.52386479 -1.031169208  2.329019058
##  [65,] -1.821523333  0.607204567  2.39323915  0.916516254  0.021873142
##  [66,]  1.890194887  0.314196298  0.21915753  1.943292140  0.447955709
##  [67,] -0.908993115 -1.002601881  2.42194180 -0.792706294  0.098085784
##  [68,] -2.188253111 -1.295291142 -0.20414494  0.389988620 -0.418881441
##  [69,]  1.922127515 -0.483661450 -0.89450174  1.892882896 -0.799898913
##  [70,]  1.831473258 -1.208432390  0.77153641  2.788481409  0.126999960
##  [71,]  1.111645609  2.745232439 -1.90160470  0.587416793 -0.459646651
##  [72,]  1.972055116 -0.866834386  1.97362887  1.622670501 -1.020641169
##  [73,] -3.014541351  0.230927487  1.82358730 -0.870777134  0.323242135
##  [74,]  0.297544932 -3.341535872 -2.66498436 -0.870757883  0.580788533
##  [75,] -3.123513629 -0.202316474  0.02439536  0.353201837 -1.241766589
##  [76,] -2.175119346  0.619405502 -1.87693522 -0.203685676  0.728913726
##  [77,]  0.988165063  0.281111344  2.73257900  1.428695160  0.826564602
##  [78,] -3.171148404 -0.393624263 -0.52860137  0.462431181 -1.108134631
##  [79,]  1.909872378  2.594516335 -1.37039805 -0.316273317 -0.384527514
##  [80,]  1.884232732 -0.836929091  0.25971121  2.107873428 -1.134661282
##  [81,]  0.148410514 -2.759622666  0.17058795 -2.012337053 -0.253735238
##  [82,]  3.159260208 -1.376912455 -0.46218545 -0.031919056 -0.631448204
##  [83,]  1.589202745  3.215922052  1.45544104 -1.156249670 -0.416540691
##  [84,] -0.735262114 -0.558683606  0.06426583 -0.614419304  3.046112719
##  [85,] -2.492696658 -0.248148077  0.57351965 -1.485832190 -0.156211037
##  [86,]  0.164831585  1.067984585  0.76191427  0.778873264 -0.004490012
##  [87,] -0.791080564  1.277284906  0.13896203 -0.512508540  0.424119906
##  [88,]  1.019972886  1.038546046  0.67879987  0.166896049 -1.036950670
##  [89,]  1.355490521  1.048191345 -1.19753355 -1.835391137  0.487381401
##  [90,] -0.217694604  1.268039722  0.47349157 -1.166491895 -0.149140965
##  [91,]  0.200980870  1.569364821  0.23589533 -1.010042731  0.739065292
##  [92,] -1.224091912 -1.370670443  1.95314352 -1.673818763  0.298939223
##  [93,] -1.377079915  1.986294419  0.87166613 -2.146700312 -1.490469516
##  [94,]  1.105509567  1.009068862  0.89835083  0.952703555  1.771596512
##  [95,] -1.763739245  0.521690848  0.52910283 -1.278362192 -1.910301720
##  [96,]  2.144246653  1.031814241  0.70297021 -0.327085070 -1.299959938
##  [97,] -0.247301899  0.219966733 -1.52379872  0.759730600 -0.649174503
##  [98,] -0.943580309 -0.985801589 -2.47162486  0.257887623  0.377111320
##  [99,]  1.434728986  0.425244821  0.30490166  1.146598321  0.613218154
## [100,] -3.084789560 -0.318539996 -0.37773171  0.447133452 -1.342039635
## [101,] -2.211988131  0.291466382 -3.00610005  0.509360032  1.226245309
## [102,]  0.934186102  0.103006060  2.09662512  2.008597406  1.345721614
## [103,] -3.134406710 -0.118005299  0.30107545  0.285470960 -1.220197353
## [104,]  1.829037095  2.049999607 -3.14856312  0.573307112  0.274730687
## [105,]  1.889637650 -0.929392727 -0.06656941  2.287498244 -1.058126770
## [106,]  0.304495611 -2.796890852 -0.22372072 -2.193562275  0.775896724
## [107,]  3.150251750 -1.266687571 -0.15055069  0.047749838 -0.490198468
## [108,]  1.504721972  2.576287720 -0.70174306  0.107804727  0.494154681
## [109,] -0.513569276 -0.429919365  0.66685573 -2.146489489  1.272448570
## [110,] -2.049787993 -0.595265518 -1.39788656 -1.626354625  0.259757990
## [111,] -0.548863117  0.551657627  0.36348773  1.955891473 -0.754455175
## [112,]  0.137370850  1.157565543 -0.22654103  0.220013284 -2.581582640
## [113,] -0.769133382 -1.651851800  2.04076114  0.144667909  0.027932525
## [114,]  1.052948611  1.877461485 -3.18476295  0.436016597 -0.942808927
## [115,] -0.832893079 -1.520043078  1.23238975  0.789310913  1.071200271
## [116,] -0.521560718 -1.774839073  1.77212639  0.062067842  1.766517195
## [117,] -2.590558669 -0.606042808  0.07011790  0.065104794 -1.677476972
## [118,]  2.565856126 -0.636635561  0.90085819 -0.352743399 -1.971483866
## [119,]  1.890132650 -1.553285458 -0.21632974  2.489127348 -0.444483208
## [120,]  1.809485293  2.507239709  0.23379629 -0.904604737 -0.130106958
## [121,]  1.154753405 -0.820601807 -0.18191235  3.258811319 -0.010433839
## [122,] -3.068643554 -0.358110282 -0.17957410  0.278724442  1.079820384
## [123,]  0.603092803 -1.663570228 -0.81847194 -1.742527977 -1.373236514
## [124,] -0.262265717 -0.458918399  1.14583763  0.431171055  0.242487727
## [125,] -2.166676433  1.025027556 -2.44144452 -0.175700086  0.158619707
## [126,]  1.396820173 -1.775823130  0.44315452  0.164190546  1.111925399
## [127,] -2.621538470 -1.080128160 -1.50955976  0.829755886 -1.228986208
## [128,]  1.904628487  2.458422492 -1.72758409 -0.464085245 -0.547767196
## [129,]  2.449232521 -1.233115913  1.14940570  0.807738005 -1.464755784
## [130,]  0.346806820 -2.486510669  0.79296731 -2.700072211  0.411814347
## [131,]  3.029389183 -1.278867895  0.12853282  0.002537778 -1.822456522
## [132,]  1.929414827  1.312693320  1.78007480  0.409498610  0.912824308
## [133,] -0.087138867 -2.322217437 -0.65856528 -1.925296028 -0.156916374
## [134,] -3.286936885 -0.510578871 -1.06794608  1.550312925  0.014328320
## [135,] -0.243063096  3.265766261  0.36303718  0.455074271 -0.101216908
## [136,] -0.885383059 -0.103152291  0.79354384  1.149680047  0.191778725
## [137,]  0.779845934 -1.412199847 -1.48333758  0.232939883 -1.659993771
## [138,] -1.475619881 -1.358995678  0.78667103  0.785254199  0.063938933
## [139,]  1.315156524  1.874152974  1.90819130 -1.745565666 -2.120481240
## [140,] -1.435594309 -0.886655409  1.17170443  0.402456719  0.175080477
## [141,]  0.311554205 -1.503514600  1.98669876 -0.611745934 -0.377702324
## [142,] -1.898169897 -0.689807691 -1.77090536  1.813131302 -0.926438974
## [143,]  1.817982682 -0.274894663 -0.25700981  0.816135845 -1.374023354
## [144,]  1.132188201  0.097406071  1.56257454  1.507813279 -0.597525384
## [145,]  1.041211639  2.476633973 -2.22422610  0.853838815  0.789743107
## [146,]  1.911956582 -1.279682355  0.58493540  2.442926394 -0.412810097
## [147,] -2.208254898  0.244829063  1.39493556 -0.446948312 -0.084142771
## [148,]  0.199618587 -1.606668229 -0.56648477  0.211079060  1.819639955
## [149,] -3.151824202 -0.105442765  0.28680901  0.530946496 -0.974148171
## [150,] -2.581152399  1.660530129 -0.45658460 -0.913041511 -0.642489672
## [151,] -1.821212050  0.049106818 -0.42528735  0.326193983 -1.727503000
## [152,] -0.709027954  1.118219938  0.61257539 -0.562639222  0.859330817
## [153,]  1.527353442 -0.054701131 -0.07747901  0.328574008  2.559335815
## [154,]  0.134446169  0.264009802 -1.70348774 -1.428607876 -0.536373103
## [155,]  2.379419131 -0.094554298  0.55507534 -2.767771658  0.132335453
## [156,]  1.816004356  0.546117886 -3.21264766  0.454846344  0.862978356
## [157,]  0.693446059  0.977045613  0.26008812 -3.763916185 -2.021635959
## [158,]  1.637082331 -0.335000397 -2.05755169 -0.746108139 -0.416159349
## [159,]  0.296933463  1.194165867  2.60436670 -1.181630957 -0.546751798
## [160,]  0.822754284  0.670235764 -2.41335728 -1.103663683  2.312033587
## [161,] -0.918911402  0.663806963  1.18690797 -2.128116926  1.024959096
## [162,]  0.231900961 -1.270641543 -1.76967126  0.862961366  0.236368161
## [163,] -1.013939681  1.262821648  1.47304856  0.585206501 -0.098566521
## [164,] -1.772694007  0.767271176  0.63712578  0.973149028 -0.128283972
## [165,]  0.113097963 -0.357041885  0.30262585 -0.029388012  3.038456413
## [166,]  0.075576812  2.276081375 -0.14913244  0.428758735  1.958389064
## [167,]  0.477358107 -2.002383447  0.60892730  0.553159679 -0.100163895
## [168,] -1.789229364  1.010323518 -0.71414648 -0.663628669  0.826928708
## [169,]  0.719595969 -0.266957041  0.81937861 -0.376044152 -0.660229054
## [170,] -0.479345237  0.029424455 -1.25225042  1.746517856 -1.293222426
## [171,] -0.706487604  1.979788355  1.48164274  0.256635741  0.659195101
## [172,]  1.659264316 -0.669984273 -0.80889570 -0.497190062  0.868951875
## [173,] -1.053631487  0.418816948  0.64807542  0.512000760  1.171296835
## [174,]  0.439619994  1.347267284 -1.34471999 -0.491319346  2.768031869
## [175,] -1.736485551  0.889505297  3.31946123  0.301066951 -0.567055601
## [176,]  1.908193822  0.100984757 -0.40588659  1.869485714  0.234457926
## [177,] -1.025193951 -1.347023632  1.14815308  0.528994073  1.290656942
## [178,] -2.229264288 -1.622311063 -1.29643165  0.990124308  0.004899612
## [179,]  1.957225328 -0.433792361 -0.55469125  1.069085426 -1.511190662
## [180,]  1.838526733 -1.356872831  0.31115872  2.847776221  0.079447061
## [181,]  1.180112751  2.940457687 -1.22406253 -0.005852669 -1.024121550
## [182,]  1.811861750 -1.441142807  0.01690577  3.101211177  0.312426585
## [183,] -3.110670459 -0.364952154 -0.24358794  0.575227017  1.429197339
## [184,]  0.360229263 -2.696506149 -0.58357746 -1.726264724  0.050562343
## [185,] -3.223541067 -0.179218190  0.09257126  0.673772079 -0.685860956
## [186,] -2.269746579  0.759892939 -1.50517585  0.258232091  1.433596248
## [187,]  2.747577269 -0.892695063  0.37334010 -0.956311448  1.532003894
## [188,] -0.149697264 -1.642331214 -2.28814301 -1.471419303 -0.781235965
## [189,]  2.400777592  0.347128955 -1.71026348 -1.021489585  0.434261725
## [190,]  2.664155409 -1.393549647 -1.71837991  0.529051941  0.057805594
## [191,]  0.613534144 -1.458382780  0.89659577 -3.179203564  1.045150296
## [192,]  2.833005133 -1.403952109 -1.83872171 -0.412027674  0.480801518
## [193,]  3.117056920 -0.179410694 -1.10177848 -1.856855416  0.106854315
## [194,]  1.396552964 -0.642255545  0.02050933 -3.110585372  1.836705087
## [195,] -2.512642306  0.003850388  1.41044718 -1.765460899 -0.188561541
## [196,]  0.041302770  0.619388750 -0.80700898  2.078283851  1.142567875
## [197,] -0.813244847  0.880928753 -1.22887662  0.288977960  0.912007999
## [198,]  0.986709032  0.840164793  0.05264538  0.423153898 -0.837258657
## [199,]  1.252252204  0.988451934 -1.42301728 -1.323117294  1.159512551
## [200,] -0.137885258  1.481731866  1.13219939 -1.525196202 -0.559153131
## [201,]  0.136542296  1.207505130 -0.99116369 -0.216929658  1.363785406
## [202,] -1.270419897 -2.048452421 -0.26872446 -0.709046147  0.847964695
## [203,] -1.511779573  1.885698680  0.38947345 -1.030942437 -0.282150752
## [204,]  1.085397022  1.243127916  1.68487628  0.664169343  1.724253118
## [205,] -1.937338444  0.418609362 -0.03359575  0.232284332 -0.284578291
## [206,]  2.079880884  0.956433882  0.49279972 -0.166467991 -1.020841607
## [207,] -0.238660237  0.398472349 -1.03260961  0.864147837 -0.508793937
## [208,] -0.159651843 -1.132594137 -0.05598138 -1.013129749 -0.784261739
## [209,]  1.500566250  0.840189583  1.66536450  0.435082161  0.072426854
## [210,] -3.014209221  0.355964728  1.96591223 -1.080854377 -2.396209206
## [211,] -2.105058072  0.929924423 -0.80062808 -1.017803085  0.046453380
## [212,]  0.942418911  0.054526904  1.96648773  1.934291974  1.240767541
## [213,] -3.148924082 -0.594610120 -1.31041545  1.087399067 -0.793683557
## [214,]  1.878394695  2.398574133 -1.99024350 -0.062447648 -0.190863682
## [215,]  1.966715740 -0.630957885  1.05402026  1.155588169 -2.010604775
## [216,]  0.277041266 -2.759604202 -0.07945444 -2.231880620  0.846800791
## [217,]  3.171498795 -0.995402267  0.71278740 -0.251134699 -0.651266456
## [218,]  1.556928786  2.591469129 -0.66355483 -0.035006615  0.235938143
## [219,] -0.616500433 -0.513737474  0.21506585 -1.061891800  2.369939157
## [220,] -2.586211894 -0.187369377  0.72652260 -1.088595931  0.457090666
## [221,]  0.137716815  0.366509534 -0.16792988  0.543739987  0.849702117
## [222,]  0.865093182  0.844185218 -1.74842823 -1.798595288  1.737694179
## [223,] -0.913971012  0.969266395  1.97298215 -1.716775781  1.472684147
## [224,]  0.313977949 -0.945041768 -0.72531396  0.292773295 -0.288118442
## [225,] -1.072776501  0.599121897 -0.68085976  1.492600012  0.450812463
## [226,] -1.699472023  0.930082069  1.24714633  0.260609994 -0.813935347
## [227,]  0.251825578 -0.075337937  1.19428496 -0.695732642  2.249570554
## [228,]  0.014567830  2.117497330 -0.74689429  1.102971967  2.580198736
## [229,]  0.504752774 -1.860630264  1.15079860  0.009577708 -0.529532914
## [230,] -1.698692239  1.131623356 -0.33312414 -1.038468810  0.327760281
## [231,]  0.558690456 -0.191830970  0.83866091  0.887454211  0.824592143
## [232,] -0.464475998  0.564705610  0.54205784  0.907998903 -1.720403026
## [233,] -0.736607022  2.290777684  2.53098650 -0.131746814  0.602622034
## [234,]  1.791907070 -0.482831255 -0.20730594 -1.103593125  0.098407869
## [235,] -1.021622690  1.026768352  2.49920628  0.201024453  1.131623848
## [236,]  0.511871527  1.643341139 -0.30949731 -1.318210021  2.062253193
## [237,] -1.857682768  0.067118102  0.65282615  1.571807247  0.370261802
## [238,]  1.973432877  0.329461293  0.39577264  1.190688519 -0.369711578
## [239,] -0.844025398 -1.043350556  2.43615654 -1.497678287 -0.655538378
## [240,]  1.798603632  1.277822318  1.64041006  0.964305961  1.712072698
## [241,]  0.567970913 -1.465901428 -1.40821954 -1.475588124  1.328585265
## [242,] -3.128591618 -0.100406746  0.42598650 -0.002631206 -1.449540091
## [243,]  0.921300172  2.566347959  0.08444693 -0.327261230 -0.277565465
## [244,] -0.707766669 -0.140351712  0.50896513  0.494931879  0.794661098
## [245,]  0.727027732 -1.433071548 -1.59685113  0.593875654 -1.235796634
## [246,] -0.813209418 -1.199505257  0.40464481 -0.405256608 -0.735537650
## [247,]  1.137562086  1.419593842  0.28112686 -0.123186538 -0.567331492
## [248,] -1.568549443 -1.353854798 -0.38152350  1.471266594  1.164907662
## [249,]  0.206337661 -1.720761209  1.11360977  0.581416058  0.745153770
## [250,]  0.582400965 -1.654341741 -4.03720871  0.592072897  0.127026158
## [251,]  1.852485410  0.064395647  0.86057895  0.277190722 -1.725563610
## [252,]  1.069824793  0.099379354  1.64192217  1.436102237 -0.464752520
## [253,]  1.320083419  3.019301770 -0.60379759 -0.838972788  0.575723760
## [254,]  1.826416008 -1.528447714 -0.21991298  2.977344774  0.131843922
## [255,] -2.295131492  0.231836563  1.14798587  0.601866665  0.972169398
## [256,]  0.184324517 -1.188753076  0.66614989  0.264048756  2.108122913
## [257,] -3.143108851 -0.334761125 -0.41121557  0.580820285 -1.073009725
## [258,] -2.658851944  1.282851605 -1.79186198  0.149784893  0.220653288
## [259,] -1.871308247 -0.027948405 -0.67512508  0.569331753 -1.428769300
## [260,] -0.711591973  0.787827363 -0.51712533  0.015709149  1.149714717
## [261,]  1.686997211  0.200537154  0.82927435 -0.749102450  1.380292709
## [262,] -1.858110215 -0.038377392 -0.44768335 -0.780682656 -2.102146836
## [263,] -0.009983675 -1.961070989 -0.67218900  0.977524185  1.756913624
## [264,] -0.640492349 -2.449177339 -0.47626302  1.394993461  2.816254162
## [265,] -2.667743902 -0.624537600 -0.07078989  0.631216256 -1.022190383
## [266,]  2.455060778 -0.932060495 -0.13446506  0.605103847 -1.049802875
## [267,]  1.289042304 -1.784059560 -2.00134352 -1.157706179 -0.679250082
## [268,]  1.464834078  3.334018842 -0.17613207 -1.228668742 -0.968154666
## [269,]  2.198079582 -0.920094403  1.60613778  0.943922005 -0.588805903
## [270,] -2.876746306  0.339743512  2.19185099 -1.486040419 -0.507401063
## [271,]  0.060055521 -3.317302160 -2.37218122 -0.195895671  0.166259201
## [272,] -3.142504794 -0.257942521 -0.17738398  0.552812520 -1.059087544
## [273,] -2.634807935  1.168554355 -2.23638980  0.468363114  0.337151628
## [274,]  1.505301199 -0.740318106  1.46628345  1.427782791  1.331421460
## [275,] -2.740709424  0.722367627 -0.45692349 -0.908981952 -0.263057377
## [276,]  1.905774831  2.562920015 -1.43666755 -0.402881750 -0.453816513
## [277,]  2.017633169 -1.986659604  0.38967132  0.286357120 -0.144177349
## [278,]  0.099735552 -2.950607582 -0.86988372 -0.826878661  2.360250992
## [279,]  3.015656624 -1.371646389 -0.56504871  0.865577325  0.487728246
## [280,]  1.825438683  0.837995677  0.24336244  1.242694873  1.631988024
## [281,] -0.131569292 -2.296085695 -0.47529079 -2.174913004 -0.202269462
## [282,] -1.322834911 -1.037008743 -0.41131805 -1.699174863 -2.575108219
## [283,]  1.736775731  1.283284999 -1.49919175 -0.917952163 -1.119800076
## [284,] -0.592930367  0.224645288 -0.78024226  2.755903856 -0.168581495
## [285,]  1.928894090  2.708029329 -0.86288820 -1.014020749 -0.920456081
## [286,]  2.367428208 -1.947699135 -1.30903111  2.358687696 -0.378804689
## [287,]  0.290098251 -2.530916123  0.71152818 -2.701725928  0.558829150
## [288,]  3.070879292 -0.884056499  1.49195594 -0.861410776 -2.416739566
## [289,]  1.901858849  1.316866466  1.83316729  0.347207053  0.949670177
## [290,] -0.148458186 -2.510569491 -1.25163372 -1.591987828  0.190570397
## [291,] -3.160670480 -0.142895407  0.08071687  0.912125001 -0.674116273
## [292,] -0.350752444  2.762553158 -1.29900566  1.452158009  0.740670485
## [293,] -0.898366238 -0.174979956  0.55300720  1.296536856  0.308268936
## [294,]  0.861502720 -1.425901982 -1.64547390  0.420718507 -1.767384879
## [295,] -1.473211209 -1.294127913  1.01677328  0.634936076 -0.026911060
## [296,]  1.111453285  0.841309250 -1.52709178  0.333852745 -0.419205639
## [297,] -1.529405423 -1.178528936  0.25100317  0.921255092  0.711687244
## [298,]  0.258107397 -1.743891382  1.19553857 -0.139263124  0.027543069
## [299,] -1.904656129 -0.528637935 -1.18196439  1.415971336 -1.132951811
## [300,]  1.848956846  0.029663156  0.79616089  0.147726816 -1.830864913
## [301,]  1.150509115  0.284559833  2.21074344  1.095715426 -0.877160551
## [302,]  1.152918867  3.108695777 -0.10406543 -0.443281716 -0.231421332
## [303,]  1.932277477 -1.124180447  1.11643983  2.110205036 -0.653007261
## [304,] -2.222289178  0.217516381  1.31604101 -0.408380875 -0.025831892
## [305,]  0.309135098 -1.125563191  1.01347625 -0.729745122  1.004636281
## [306,] -3.290318919 -0.773981843 -1.92760392  1.864300336  0.137285445
## [307,] -2.664442991  1.297484746 -1.64793851 -0.204320402 -0.026482672
## [308,] -1.831829290  0.042083823 -0.43588975  0.322802182 -1.701712188
## [309,] -0.648431973  1.114788359  0.51649880 -0.439377745  0.770588458
##                  PC6           PC7          PC8          PC9          PC10
##   [1,]  0.7182594090  0.0900371245  1.051744451 -1.937650817  0.4989633841
##   [2,] -0.6772550951  1.9777064114 -1.557168739 -1.216866754 -0.5305604825
##   [3,]  1.1916488129 -1.2195053227 -0.411285727 -0.323523971 -0.1148162874
##   [4,]  1.7403584683  0.6091639642  0.258612735 -0.654105790 -0.2130147794
##   [5,]  2.1847893962  0.2198466952  1.845426766  0.627204075 -0.6014890431
##   [6,] -0.2480383908  1.4550678660  0.483870124  0.558138013 -0.2014692509
##   [7,]  0.9965416546 -0.8530147261  0.684045214 -0.285018564 -0.7811912336
##   [8,] -0.5055130553 -0.4251606584 -0.227317424  1.333349131  0.1917601304
##   [9,]  1.1709683751  0.1970313925 -1.162926497  0.312410711 -1.0231229714
##  [10,] -1.4206369931 -0.3235588013  0.045516341  0.241215288  1.0354175725
##  [11,] -0.9877439635 -0.2335341620  0.675723070 -0.141706192 -1.1092713774
##  [12,] -0.7610221388  0.7783351846 -0.103927236 -0.972945187  0.3836599781
##  [13,]  0.7356356660 -0.1182467785 -0.538078442  0.115259335 -0.8498243779
##  [14,] -0.3303380494 -0.4144204301  0.078712304  0.509575391 -0.1786395470
##  [15,]  0.8668959754  0.1542886143 -0.441232526  1.201097550 -0.7763798784
##  [16,] -1.0582597188 -0.7242179155  1.600738198  0.810017235  0.0978269150
##  [17,] -0.5049244711  1.7816022095 -0.061502145  0.001210227 -0.9101287848
##  [18,]  0.1840838476 -0.0442652608 -0.003095435 -0.819714203  0.2257921571
##  [19,]  0.4184360878  1.5182832851 -0.362960279  0.678886989 -0.0700320345
##  [20,] -0.1026575213  0.1029842000  0.139143879 -1.173656688  0.0186207447
##  [21,] -1.1480175988 -0.8296570774  0.839375250 -0.234943802 -0.0825857254
##  [22,]  1.3263081293 -0.4222197926  0.444424752  1.718445639 -0.4170879515
##  [23,] -3.4638911787 -2.6363622952  2.172674109  1.263816491  0.8334590948
##  [24,] -0.0004180954 -0.1158383494 -0.076506354  0.541266927 -0.3670905070
##  [25,] -0.2750442777  0.9287661421 -0.325823814  0.423680522 -0.5182746874
##  [26,]  1.0816548676  0.0640144973  1.274308400 -1.764172546  0.3344585771
##  [27,] -0.2832546918  1.2360719838 -0.187090224  0.315365054 -0.0554968227
##  [28,]  1.3433206731 -0.8591849926 -0.936163793 -1.220062630  0.4830794498
##  [29,] -1.6799924024 -0.0281633721  2.156630368 -1.020784884 -1.1447949606
##  [30,]  1.0710626285 -1.3284110672  1.834728862 -0.381994526  0.6811806747
##  [31,]  0.8185042829  0.1595997123  0.965113863  0.982824838 -0.1867421466
##  [32,] -0.5116245789  0.2213173362  0.411993823 -0.538385421 -1.0926900877
##  [33,]  1.2290071541  0.4714686091  1.461225803 -0.325889829 -0.2473663898
##  [34,] -0.0646666045  2.2433620737  0.710404490 -0.950511191 -0.7809675133
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## [221,] -2.7715548775 -1.1711189217 -0.224810404 -1.292249361  0.1126633235
## [222,]  0.9478196676 -0.5524772989 -0.253200914 -0.863825131  0.5535381578
## [223,] -0.3074748126  0.0308155105 -2.454120724 -0.296762847 -0.6126684205
## [224,] -1.0298320649  1.0206780718  0.855237899  0.215226261 -0.5046193620
## [225,] -1.2212535442 -1.9376653665 -1.617638308  0.884574081 -0.6814473948
## [226,] -1.7503323526 -0.6239726748 -0.629460887 -0.312870598 -0.4785053719
## [227,] -0.0392305174  0.2615016712 -1.130505607  1.396462056  1.2579694919
## [228,]  0.2225209433  0.8615858150  1.402180848  0.064659209 -0.2595934931
## [229,]  0.7412912740 -0.8531850969 -0.013240528  0.088707514  2.0467880852
## [230,] -0.7891935436  0.5454448937  1.084975113 -0.692704938  1.1037826112
## [231,] -0.2848528400  0.0915404055 -0.959288153 -2.908879872  0.2430427710
## [232,]  0.3190198692  0.8987541821 -0.848630395  0.972090818  1.6721437422
## [233,] -0.3048533945 -0.8294496564 -0.274188663 -0.289207469  0.6960047812
## [234,]  2.2580891391 -0.3672360792  2.171436426  1.635181116  0.7586462447
## [235,]  2.2292543596 -0.0922318122 -1.411306251  1.281549337  0.2631799499
## [236,] -0.3527796009  0.1126639646  0.675632513 -0.094287409 -1.7323666455
## [237,] -0.0255121956 -0.9127629007 -0.187010389  0.243044661  1.7805492648
## [238,] -1.2341259405 -1.2470149473  0.454072898 -0.011152504 -0.5126806365
## [239,] -1.2742061293 -0.8500378489  2.645838204  0.780696755  0.9179201758
## [240,]  1.5845528807  0.3445231282 -0.272478651  1.454825603 -0.6233202025
## [241,] -1.1153339245  0.9284920103 -1.425772808  0.817089168 -0.3921075456
## [242,]  0.1514350674 -0.0946406719 -0.023153129  0.525905682 -0.4341328443
## [243,]  0.1200518159  2.0631355943 -0.104296840 -0.338243733 -1.3731108572
## [244,]  0.2027959021 -0.0849401635  1.463003500 -1.950875326 -0.9218141608
## [245,] -0.7978352078  1.1938858224 -0.299961432  0.614450844  0.9101726144
## [246,]  0.7396572613 -1.8187328378 -0.722086197 -1.493394128  0.4645379441
## [247,] -0.2925104736  1.7654731385  0.900472570 -1.224373692 -1.9931934779
## [248,]  1.5528942911 -0.3823914320  1.036454458 -0.647625094  0.3524471733
## [249,] -1.3878602134  0.1146013481 -0.164370679  1.656090276 -0.3786438121
## [250,]  0.8920970829 -0.2471013297 -1.020127228 -0.368418686 -0.1360227207
## [251,]  0.5619597323  0.8961292302 -1.334701366  0.379131211  0.2574922605
## [252,] -1.9119232499  0.6272419580 -0.040167086  0.267890918 -0.3638157824
## [253,] -0.6003662352 -0.0860071646  0.036601334 -0.492122827  1.7173048359
## [254,] -0.0075139193 -0.5445206700 -0.012862474  0.166851359 -0.9379488813
## [255,] -0.3317993324  1.3861884739  0.366675439 -0.608606841  0.8330237465
## [256,] -0.1633623299  0.3209166774 -1.432590791 -1.371786484 -0.0640701133
## [257,] -0.2232857151 -0.2414764424 -0.056790620  0.475449978 -0.2479260376
## [258,]  0.6025818559 -0.2811734954 -0.100457057  1.230327282 -0.5999538620
## [259,]  0.4170038534  1.6903016657 -0.874392374  0.326717780  0.5784111216
## [260,]  0.0002427880 -2.7793829806 -1.102881662 -0.225616264 -0.1222536990
## [261,]  0.1823409035 -1.1936153031  0.214544196 -0.186836394 -0.3278446880
## [262,] -1.2715304280 -2.7286452138 -0.103067971  0.538373097  0.3577129850
## [263,]  1.4670339885  0.0560863487  1.649570038  0.463640188 -0.2575170414
## [264,] -1.2367743349  0.6690005850  0.825026937  0.357533884  0.3547903089
## [265,]  1.1603304648  0.2564488286 -0.466493609 -0.784972182 -0.9809742273
## [266,] -0.7338553859 -0.0482649295 -0.773772879  0.957953335  0.2606999512
## [267,]  0.8889099300 -0.7066213845 -0.312820562  0.509747636 -0.7811957618
## [268,] -0.5705395526  0.5542518386 -0.472892785  0.313815624  0.5342072708
## [269,] -0.8512332042 -0.4827810745  1.036359939  0.228757735 -1.1577294509
## [270,] -0.3740756655  0.0417266096  0.932044033 -0.273332092  0.2768452963
## [271,]  0.4032019324  0.2527873889 -1.136724346 -0.363677374 -0.7277646423
## [272,] -0.0441355087  0.0294030664 -0.262150079  0.441155012 -0.3627821102
## [273,]  0.3577792653 -0.4086229346 -0.083707788  1.279164475 -0.4796391971
## [274,] -1.5531806436 -0.3803915162  0.949686923  0.343125451  0.2926302275
## [275,] -0.8756634804  0.4962594512  1.171716745  0.439440455 -0.5907452008
## [276,] -0.0669921990  0.2226560485 -0.428683876 -0.958918591  0.3034629867
## [277,] -0.3019960188  0.7735920022  0.079229910  0.654463086  0.3520907959
## [278,]  0.4308091328  1.8659576704 -1.545778625 -1.887880264 -0.4217303502
## [279,] -0.7519674960  1.2586366080 -1.278552065 -1.119937175 -0.5003505269
## [280,]  0.5227459304 -1.1517873688  0.828307407  1.701901555  0.0377575323
## [281,] -1.2891964728  0.7268513687 -0.413380030  0.633575030 -0.5561705670
## [282,]  0.0072723101  0.1177275082 -0.650013848  0.271424375  0.5749921706
## [283,]  1.3745317270 -1.0682943337  1.842989199 -0.939231198  1.3300725948
## [284,]  0.3001583816 -0.6476922795  1.653718382 -1.711975445  0.7720718709
## [285,]  0.0608953430 -0.0522280140 -0.057624847 -0.829450762  0.2804388426
## [286,] -0.3793650617 -0.7280509615  0.123139185  0.461371200  0.5299479216
## [287,]  0.4851285995  0.5384871928 -0.034959347 -1.162760972 -0.2992416890
## [288,]  0.7206171053 -0.5881867306  0.011350392  0.249568814 -0.3876300550
## [289,]  1.2655471357 -0.6204720310  0.636573907  1.855271946 -0.3714336955
## [290,] -1.6098224177  0.6667855015 -0.514808749  0.565964376 -0.4048883452
## [291,]  0.3830414208  1.0109341013 -1.123266595  0.241569021 -0.6783633899
## [292,] -0.6782178362  1.3000455823  0.767054107  0.198642605 -0.6140196286
## [293,]  1.6844910775 -0.0002079914  0.603823492 -1.555022296 -1.0310973402
## [294,] -1.1399821131  0.5706408517  0.225131480  1.006080236  1.1212419211
## [295,]  1.2939157922 -1.0000212360 -0.805579220 -1.173390048  0.5219335656
## [296,] -1.5209166720  0.1111558629  2.082635517 -1.083053578 -1.2292044177
## [297,]  1.7354934370 -0.5086166346  1.274213378 -0.507815962  0.2828894521
## [298,] -1.7703871607 -1.0686169716  0.945636813  1.981196497 -0.0611704156
## [299,]  0.6019869525 -0.0363752051  0.421560655 -0.836265536 -0.6174102949
## [300,]  0.4477745716  0.6016858070 -1.070264315  0.420841396  0.3475341540
## [301,] -1.7409282983  0.6768220842  0.003313970  0.460084373 -0.4587245723
## [302,]  1.0154864475 -0.0985800207 -0.643518629 -0.004429237  1.5584108132
## [303,]  0.4923718799 -0.3707895537  0.066845323  0.432132091 -1.1977180848
## [304,] -0.8242134745 -0.2005517233  1.866263998 -0.162230166  1.2491918924
## [305,] -0.5806708637 -1.0993056715 -0.071064434 -0.836025698  0.2882833788
## [306,] -0.5943934264  0.1107253930 -0.653395882  0.019173765 -0.1081640853
## [307,]  0.5500102538 -0.6588696646  0.287068731  1.294093947 -0.5254052273
## [308,]  0.4272639574  1.5292324864 -0.687199135  0.451762489  0.5889517563
## [309,]  0.5268382605 -2.2511204799 -1.404420153 -0.130277486 -0.4341384337
##                PC11          PC12         PC13         PC14          PC15
##   [1,]  0.420523565  0.4334820544  0.016896184  0.568431041  0.4383575733
##   [2,]  0.462308125  0.3986804449 -0.218844308  0.061830934 -2.0687208915
##   [3,] -1.315721292 -0.6118901582 -1.234182675  0.374500028  0.7773050725
##   [4,] -0.036031283 -0.2638657935 -0.338447239  0.010300783  0.5421504516
##   [5,] -0.912182701 -0.4352120930 -1.415924824  0.029107293  0.2282780957
##   [6,]  0.006675664  1.2983623838 -0.206751142 -0.234096001 -0.6232337130
##   [7,] -0.681612182 -0.4367979407  0.627895778 -0.126860747  0.5778337358
##   [8,]  1.570297126 -0.3494589711 -0.224076737  0.307935702 -0.1791024816
##   [9,]  0.588029356  1.3889527245  0.379929206  0.698899496  0.2331253689
##  [10,]  0.013843135 -0.3935900740  0.183078896 -0.531951622 -0.0795574606
##  [11,] -0.393455043 -0.8581065623  0.256269265 -0.857916040  0.0129291768
##  [12,]  0.012211427  0.7468853985  0.391100484  0.158685593 -0.2626260427
##  [13,]  0.249502857  0.0929055090 -0.044637030  0.616334219 -0.0808919597
##  [14,]  0.108202924  0.0621200579 -0.074766804 -0.009759719  0.1656639689
##  [15,] -0.894184802  0.6667391909 -0.134044309  0.395128230 -0.5965953711
##  [16,]  0.908454725 -0.2179462237  0.185976081 -0.004498742 -0.4711337983
##  [17,] -0.992433913 -0.7479697500 -0.485089739 -0.584556336 -0.1028938720
##  [18,] -0.796874258 -0.9948424816  0.538850685 -0.867448372  0.4749865902
##  [19,] -0.844001807 -0.4463708756  1.628548810 -0.604924292  0.2536040792
##  [20,]  0.320441162  0.1598941284 -0.096108696  0.385799068 -0.0495534724
##  [21,]  0.467789803 -1.2219438435  0.249408139 -0.731181079  0.4061416274
##  [22,]  0.411759401 -0.2953011717 -1.528031755  0.251766287 -0.3967280920
##  [23,]  0.951863976 -0.0769681900 -0.219517073  0.120893372 -0.3421600285
##  [24,]  0.095539826  0.0651550583  0.029651045 -0.012197733  0.1471579650
##  [25,] -0.734840381 -0.7561054781 -0.278001541 -1.273542765  0.0662511665
##  [26,]  0.494253801  0.0829017276 -0.087042222  0.335995178  0.6686192208
##  [27,]  1.219675724  0.3473208400 -0.118633159  1.409979591  1.0286389588
##  [28,] -1.041488146 -0.2161509584 -0.829347522 -0.448322267 -0.2646588750
##  [29,] -0.837946225  0.2926483701  0.133017998  1.000956763  0.8888048793
##  [30,]  0.404992386  0.1465291483  0.689510060 -0.526647777  0.4152453066
##  [31,] -0.863377283  0.8313440043  0.490013777  1.143399608 -0.8880189012
##  [32,]  1.135636716 -0.4148927197 -1.304990553  0.638676216  0.2022641052
##  [33,]  0.828808911 -0.6314252501 -0.319879928 -0.179981187 -0.9960511402
##  [34,] -1.045951865  0.0668733975 -0.398041733  0.851525389 -0.2799188786
##  [35,]  0.009148572  0.9825179146 -0.693330830  0.687387035 -0.9228988259
##  [36,]  0.003684991 -0.4452323697  0.131529168  0.435770915 -0.5539587221
##  [37,] -1.864892347 -0.2768934238 -1.318510710 -1.321186730 -0.2473171349
##  [38,] -0.021480573 -0.3037972350 -0.919328509  1.015139336 -1.1288114460
##  [39,] -1.480099028  0.0080071951 -0.864049795 -0.975689884 -0.4962413909
##  [40,] -1.149182018  0.1416856598 -0.300607468 -0.552503014 -0.3531137163
##  [41,]  0.806124346 -0.1179494334  0.638998799  0.611840391  0.4739033034
##  [42,]  2.023023934 -0.1990796775 -0.721549002 -0.445591628 -0.3057797375
##  [43,]  0.118601406  1.1488752332  1.127125769 -0.819164504  2.0210436648
##  [44,]  0.370000163 -0.3286131012 -0.391529217 -0.756123983  0.9131450099
##  [45,] -1.614973464 -1.2134306509  1.337189896  0.479254455 -0.7940825244
##  [46,] -0.822660699 -0.5381476425  1.351054267 -0.871938739  0.2867008044
##  [47,] -0.825820015 -1.4698517789 -1.565778171 -0.912485003 -1.6294596013
##  [48,] -1.665852215  0.3708029720  0.525802391  0.726885898  0.2313883640
##  [49,]  1.008512627 -0.1394632519 -0.443699967  0.933724085  1.2044084929
##  [50,]  0.400890266 -0.8467778863  1.276292343 -0.515240987  0.6590492803
##  [51,] -0.203704842  0.7304241801 -0.305652649  0.014290211  1.4018728347
##  [52,]  1.318968269  1.2676593358 -0.089367897 -2.200932157 -0.0105380974
##  [53,] -0.471740318  0.0747768687  0.312992783  1.462436004 -0.3283840429
##  [54,] -0.248509625 -0.7626119578  1.151848027  0.102037854 -1.1656168492
##  [55,]  0.059631997 -0.3422837836  0.631467132 -0.430910715  0.7213219035
##  [56,]  1.187959690 -0.3529930654  0.325920926 -0.635921694 -0.3963700610
##  [57,] -1.516700646 -0.5463492685 -0.689798999  0.290699987  0.6539578856
##  [58,]  0.063045575 -1.5632941214 -0.689317295  0.965257941 -1.1668081449
##  [59,] -0.585555242  0.3180404088 -0.613800091 -1.021079901 -0.7911169580
##  [60,]  0.168377749 -0.6514696533  0.427877290 -0.691209791  1.1214395016
##  [61,] -0.303937921  0.2195102429 -0.177772012 -0.966847954 -0.4534468747
##  [62,] -0.370589642  0.1881359754 -0.404935737  0.616217247  0.3213906647
##  [63,]  0.562045314  0.6087100581  0.546564854 -1.127522933  0.0423631652
##  [64,]  1.562104579  0.1679151372 -0.759164794  0.914358164  0.4221507490
##  [65,] -0.307419099  0.5669386920  0.323913746 -0.248765411  0.2401093667
##  [66,] -1.800555798  1.2416865299  0.546191663  0.025603755 -0.4886964204
##  [67,] -0.780803530  0.9680464791 -1.154511320 -0.234018960  0.2106001542
##  [68,]  0.243501794 -0.7449588229  0.901164989 -0.639258371  0.2572572643
##  [69,]  0.318511999  0.9865425504 -0.724604727  1.167513640 -0.3950871256
##  [70,] -0.155695975 -0.3662381423 -0.090378760 -0.082046491 -0.1027064113
##  [71,]  0.395563837 -0.6353653669 -1.046143203 -0.395446609  0.4200325778
##  [72,] -0.132154535 -0.2768798130  0.554030785  0.187167051 -0.2955056307
##  [73,]  0.118025861  0.2219809439  0.236114510 -0.198690863  0.0834334297
##  [74,] -0.140563287  0.1228052652  0.164854143  0.040425323 -0.2375809416
##  [75,]  0.089152229  0.0810432184  0.008917707 -0.013010484  0.1426505796
##  [76,]  0.252996727 -0.3221551566 -0.043456885 -0.401261618 -0.4983860014
##  [77,] -0.193686281  0.1925570034 -1.200835531  0.027174662  0.0545096490
##  [78,]  0.225428911 -0.5317507356 -0.751995565 -0.518521957  0.6561825798
##  [79,] -1.038563904  0.1303494327  1.505910954 -0.006619541 -0.3864339587
##  [80,] -0.999779797 -0.4491545309 -0.203159284  0.890661824 -0.0687494212
##  [81,]  0.736805720  0.0931148821 -0.548849539  0.929741566  0.1710456599
##  [82,]  0.331212303 -0.6604685218  0.483127310 -0.383953382  0.0299625586
##  [83,] -0.494038249 -0.1809526966 -0.693029162 -0.321202640  1.2130307510
##  [84,] -0.247720716 -1.9830952857 -0.064812692  0.673317030  0.2488693728
##  [85,]  0.293303760 -0.2526473413  0.760814035  0.442096802 -0.2483130580
##  [86,]  0.854198843 -1.0578870797  0.246599297  0.268291758  0.0528875299
##  [87,]  0.019427201 -0.7472741460 -0.315263937 -0.339431116  0.8530010449
##  [88,]  0.515099491  2.2369077013 -0.708746469 -0.099849514 -0.4085056983
##  [89,]  0.396677405  1.0281156094  1.251735506  0.365048538  0.6113069945
##  [90,] -0.196958743  0.1727445012 -0.175979624  0.251242033  0.3075061692
##  [91,] -0.908803697 -0.4641643806 -1.195676014  1.524708105  0.6341433167
##  [92,] -0.459819133  0.2415520696 -0.701715520  0.943060828 -0.4390341268
##  [93,]  0.577211676  0.8769549835  0.467237575 -0.293414270 -0.7410211870
##  [94,]  0.376024108 -0.5759689750  0.918623238  1.180562016 -0.2256674920
##  [95,]  0.376550480 -1.1251383134  0.986458836  0.529105777 -1.1761631521
##  [96,]  0.256931250  1.0610395622 -0.053629478  0.064945845 -0.5656595143
##  [97,] -0.478982591 -0.4067158254 -0.469145662  1.271401627  1.3387050869
##  [98,] -0.564062512 -3.0245294479  0.224081729 -0.554508893  0.2526254534
##  [99,]  1.600824809 -0.1890302916 -0.476698915 -0.651020429 -1.1351435908
## [100,]  0.031125975  0.5189074993  0.558725281  0.430966100 -0.2377379712
## [101,]  0.197998438  0.0167154008  0.111369110 -0.132114611 -0.7366617528
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## [292,] -0.448238235  0.5883060329  0.080163844 -0.336205536 -0.5854681151
## [293,]  1.782082642 -0.8786251058  0.424369024  0.453352217  0.1686013563
## [294,]  0.262999653  2.5161366718  0.184353081  1.516995025 -0.0388854969
## [295,] -1.028991209 -0.2410878726 -0.813808730 -0.445286831 -0.2550268203
## [296,] -0.767768447 -0.1184498761 -0.336592138  0.625874697  1.2319341578
## [297,]  0.424298678 -0.1658003787  0.354749610 -0.877756151  0.6822191559
## [298,] -0.583145614 -0.3361529386  0.012495691 -1.390367906 -0.1025393108
## [299,] -0.021967799 -0.5455360842 -0.094936125 -0.461983720  1.6215068235
## [300,]  1.938133198 -0.6013023488 -0.357609883 -1.101025575 -0.7146842916
## [301,] -0.568533563 -0.1138279703 -0.613242911 -0.355154778 -0.0453825308
## [302,]  0.737361526  0.1736037657 -0.361233504  0.692900730 -0.0526630204
## [303,] -0.126718864 -0.2544281997  0.408186660  0.192943852 -0.2835720653
## [304,] -0.061479981  0.4313114021  0.099934079 -0.890448988  0.4808252877
## [305,]  0.093734175 -1.8826517649  1.632717238  1.431294242 -0.4038404559
## [306,]  0.087368328 -0.0350587299 -0.772962725 -0.292136488  0.3733408245
## [307,] -0.674268055 -0.2830235204 -1.093907597 -0.326910311  0.1536629841
## [308,]  0.814679485 -0.1524666351  0.681117266  0.601996141  0.4859256479
## [309,]  1.875453301  0.5883067607  0.490080068  0.307284192 -1.0199760971
##                PC16         PC17
##   [1,] -0.204699168  0.399778790
##   [2,]  0.045288943  0.292915024
##   [3,] -0.271595154 -0.814045516
##   [4,] -0.371673537  1.078203419
##   [5,]  0.734034423  0.516096799
##   [6,]  0.370839736  0.464690533
##   [7,] -0.322143489  0.050306784
##   [8,]  0.531051672  0.194644777
##   [9,] -1.124665269 -0.473960208
##  [10,]  0.076492553  0.033336741
##  [11,] -0.534141622 -0.128982341
##  [12,]  0.084037407 -0.456830857
##  [13,]  0.189629446  0.456895464
##  [14,] -0.016716439 -0.021511422
##  [15,]  0.006422442 -0.329564249
##  [16,] -0.225723824 -0.788232416
##  [17,]  0.487690414 -0.355745563
##  [18,] -0.216253994  0.281111017
##  [19,] -0.357368372 -0.574817902
##  [20,] -0.121585264  0.153361961
##  [21,] -0.325279346  0.341539699
##  [22,] -0.249217026 -0.517074387
##  [23,] -0.474336582  0.001382573
##  [24,]  0.020601136 -0.029383874
##  [25,] -0.421748563 -0.176386698
##  [26,] -0.375057468  0.459319241
##  [27,]  0.157050749  1.283191589
##  [28,]  0.172160415 -1.177121386
##  [29,]  0.840632915  0.308201578
##  [30,]  0.546906491  0.990041317
##  [31,]  1.833637726  0.602301402
##  [32,]  0.899009190 -0.685671003
##  [33,]  0.778795299  0.192681525
##  [34,]  0.282663097  0.192190653
##  [35,] -0.281726780 -0.102251797
##  [36,]  0.404702630  0.315448071
##  [37,]  0.252701007 -0.080408534
##  [38,]  0.835870432 -0.173405499
##  [39,]  0.794453324 -0.901139864
##  [40,] -0.664108490 -0.302257112
##  [41,] -0.699334673 -0.772619337
##  [42,]  0.302214498  0.526431365
##  [43,]  0.215644055  0.008363015
##  [44,]  1.218170500 -0.374050417
##  [45,] -0.107189826  1.558186080
##  [46,] -0.014697978 -0.110994738
##  [47,] -0.314501834  1.085094010
##  [48,] -0.453323188  1.568209576
##  [49,]  0.371135730 -0.880906339
##  [50,]  0.038378647 -1.504845090
##  [51,] -0.190277899 -0.215343711
##  [52,]  0.571180847 -0.485102183
##  [53,] -0.795216391  0.307609636
##  [54,]  0.101171607 -0.457206584
##  [55,] -0.836682394  1.227393045
##  [56,] -0.761838666  0.044936466
##  [57,] -0.093377912  0.519556971
##  [58,] -0.085545972  0.334201010
##  [59,]  0.820792154  0.214839663
##  [60,]  0.108966172 -0.162975362
##  [61,] -0.542958636  1.037635542
##  [62,] -1.090814185 -0.173869707
##  [63,]  0.397950756  0.601928262
##  [64,] -0.286457614 -0.316048608
##  [65,]  1.423427877  0.100505316
##  [66,] -1.311470262 -0.340525215
##  [67,] -0.360979053  0.384060109
##  [68,]  0.046545960  0.364930671
##  [69,]  0.851869088  0.039331283
##  [70,]  0.125575693  0.027204718
##  [71,]  0.339668208  0.511883358
##  [72,]  0.135095885 -0.227962988
##  [73,] -0.161028009 -0.359990351
##  [74,] -0.151488592  0.364242693
##  [75,]  0.032547772 -0.019961277
##  [76,] -0.125258951 -0.040086038
##  [77,] -0.314385878 -0.543428311
##  [78,] -0.335717440  0.228175597
##  [79,]  0.400994735 -0.072763914
##  [80,] -0.528254127  0.151448992
##  [81,]  0.139513375  0.283297565
##  [82,] -0.005952746  0.259756203
##  [83,]  0.220449326  0.205910512
##  [84,]  0.821389639 -0.280463409
##  [85,] -0.616768168 -0.143967535
##  [86,]  0.587250538  0.095098054
##  [87,] -0.057818756 -0.333248457
##  [88,] -0.618241629  0.030801222
##  [89,]  0.262114853  0.284029297
##  [90,] -0.441595058  0.570186068
##  [91,]  0.546853402  0.247395413
##  [92,] -0.954452414 -0.237225566
##  [93,] -0.690367526  0.648356547
##  [94,]  1.196418062 -0.755162981
##  [95,] -1.025634831  0.626103061
##  [96,] -0.491732734 -0.231372581
##  [97,]  0.162249355  0.180426095
##  [98,]  0.601243917 -0.104024116
##  [99,] -1.217306954 -0.042251874
## [100,]  0.210795257 -0.266528766
## [101,]  0.009178791 -0.140306083
## [102,] -0.239832184 -0.505299089
## [103,] -0.001081145  0.061331010
## [104,]  0.225753874  0.024185581
## [105,] -0.423907862  0.044826848
## [106,] -0.049813183  0.066391359
## [107,]  0.144666199  0.249381777
## [108,]  0.288291683  0.147150980
## [109,]  0.683932546 -0.766405649
## [110,] -0.165238363  0.413606088
## [111,] -0.311500803  0.275308649
## [112,]  0.470357058  0.841243335
## [113,]  0.222169322 -1.078565979
## [114,] -0.168079224  0.872922772
## [115,]  0.877633521  1.155793976
## [116,]  0.248481964  0.515447773
## [117,] -0.215599949  0.058770936
## [118,]  0.514993586  0.210590031
## [119,] -0.226150793 -0.086942561
## [120,]  0.289380434  0.313280968
## [121,]  0.215127207 -0.235851294
## [122,]  0.018379895 -0.540713487
## [123,] -0.445011923 -1.187395940
## [124,] -0.197477228  0.266806473
## [125,] -0.289242777 -0.037798448
## [126,] -0.565139828 -0.738008042
## [127,] -0.159623044 -0.074763111
## [128,]  0.075685920  0.058279950
## [129,] -0.639909303  0.323712286
## [130,]  0.029766279  0.032157735
## [131,]  0.251431807  0.393080370
## [132,]  0.099890861 -0.888438144
## [133,]  0.278208194  0.028194637
## [134,] -0.035768643  0.342225755
## [135,] -0.465900314 -0.053961025
## [136,] -0.579918745 -0.349760333
## [137,]  0.000772863  0.151658109
## [138,]  0.209223668 -1.243826974
## [139,]  0.869070173  0.233877079
## [140,]  0.805399365  0.872283165
## [141,]  0.341425105  0.022592252
## [142,] -0.684397168 -0.936264140
## [143,]  0.869141848 -0.006288726
## [144,] -0.404210072 -0.522821842
## [145,]  0.676296036 -0.021386986
## [146,]  0.152334617 -0.236617040
## [147,]  0.100548266  0.546407053
## [148,] -0.614292886  0.646342147
## [149,]  0.157997524  0.030636773
## [150,] -0.396764299 -0.190573406
## [151,] -0.644069677 -0.846298375
## [152,]  0.284353292  0.503158969
## [153,]  0.173424869  0.019842343
## [154,]  0.044405912 -0.388242074
## [155,]  0.824834606  0.325438074
## [156,]  0.121962865 -0.861216712
## [157,] -0.442513188  0.702610115
## [158,]  0.793495320  0.334082201
## [159,]  0.447669504 -1.216843843
## [160,]  0.090886418 -1.371108370
## [161,] -0.438017503  0.002962693
## [162,]  0.541409695 -0.450589729
## [163,] -0.820401346  0.677621810
## [164,]  0.226252313 -0.216161914
## [165,] -0.677481397  1.415588471
## [166,] -0.583691233  0.119191040
## [167,]  0.293109180  0.174793193
## [168,] -0.203669862  0.239594626
## [169,]  0.743351273  0.219123542
## [170,]  0.130802257 -0.400058587
## [171,] -0.410579567  0.611738612
## [172,] -1.026212619 -0.272878294
## [173,]  0.242101208  0.488238862
## [174,] -0.288948646 -0.279987488
## [175,]  1.601354083 -0.114113845
## [176,] -1.520591312 -0.365248874
## [177,] -0.085103098  0.421068268
## [178,]  0.047903515  0.346408715
## [179,]  0.290577969  0.257721538
## [180,]  0.058594121 -0.016260362
## [181,]  0.351179366  0.395519794
## [182,]  0.067019098  0.018984832
## [183,]  0.069867765 -0.454941763
## [184,]  0.068081891  0.334040887
## [185,] -0.180412417  0.376233283
## [186,] -0.039127144  0.230944364
## [187,] -0.461598407 -0.299418857
## [188,] -0.863571623  0.415674312
## [189,]  0.164826381 -0.745791996
## [190,]  0.055938829 -0.226902271
## [191,] -1.130935409  0.447494847
## [192,] -0.780931794 -0.127862513
## [193,] -0.218573295 -0.492468351
## [194,] -0.164408869 -0.368908455
## [195,] -0.723395579  0.067538846
## [196,]  0.685196206  0.204171257
## [197,]  0.169355098 -0.549958598
## [198,] -0.769993878  0.122808536
## [199,]  0.128325234  0.614367708
## [200,] -0.115885447  0.264880595
## [201,]  0.569809145  0.268030342
## [202,] -1.012129894 -0.350160623
## [203,] -0.449618464  0.852052206
## [204,]  1.060227957 -0.534824136
## [205,] -0.614394865  0.846168128
## [206,] -0.773683331  0.063697140
## [207,]  0.510641502  0.044842721
## [208,]  0.539028601 -0.851370448
## [209,] -1.093386790 -0.122726928
## [210,] -0.155246654  0.001096426
## [211,] -0.194613598 -0.072297240
## [212,] -0.321072705 -0.504598778
## [213,]  0.179998006 -0.184224234
## [214,]  0.259444768  0.009943970
## [215,] -0.780618138  0.139516314
## [216,] -0.198320989  0.234820841
## [217,]  0.268641865  0.234126153
## [218,]  0.453731649 -0.077289733
## [219,]  1.088579218 -0.729502626
## [220,] -0.676442863  0.168806418
## [221,]  0.347355852 -1.056801166
## [222,] -0.165990170 -1.283069689
## [223,]  0.332638512 -0.293672149
## [224,]  0.795452124 -0.679781217
## [225,] -0.988260241  0.662611902
## [226,]  0.110787399 -0.291810588
## [227,] -0.252893278  0.923464117
## [228,] -0.433616613  0.144755671
## [229,]  0.066773967  0.275017663
## [230,]  0.063241523 -0.101200129
## [231,]  1.179012497  0.462607684
## [232,] -0.019352945 -0.148293626
## [233,] -0.615282088  0.926318797
## [234,] -0.681058673 -0.744278153
## [235,]  0.786713435  0.356755296
## [236,] -0.374744887 -0.315348333
## [237,]  1.269945960  0.064941224
## [238,] -1.574325649 -0.425168932
## [239,] -0.740202720  0.388446323
## [240,] -0.117226699 -0.428558305
## [241,]  0.955826543 -0.268608022
## [242,] -0.232986784  0.174246513
## [243,] -0.030911579 -0.178010067
## [244,] -1.116037385 -0.443587411
## [245,]  0.040368748  0.267750892
## [246,]  1.404264474 -1.478292614
## [247,]  0.978839680  0.483021714
## [248,]  0.603511293  1.157426119
## [249,]  0.692486224  0.040663628
## [250,] -0.722358199 -0.980492359
## [251,]  0.905558470  0.015177064
## [252,] -0.818092266 -0.133033980
## [253,]  0.321527445 -0.257408901
## [254,] -0.070998352  0.016638914
## [255,]  0.637360258  0.497985009
## [256,] -0.183950774  0.629102932
## [257,]  0.001359994 -0.002573657
## [258,] -0.199281757 -0.231513525
## [259,] -0.767591488 -0.674397629
## [260,]  0.473512663  0.278870895
## [261,]  0.279643315 -0.373044027
## [262,]  1.231233143 -0.616917441
## [263,]  1.196629303  0.206480172
## [264,]  0.154833871  0.622433628
## [265,] -0.106378218  0.206223917
## [266,]  0.516903811  0.396282048
## [267,] -1.619758037 -0.272082445
## [268,]  0.326323508 -0.089511243
## [269,] -0.174273385 -0.580481396
## [270,]  0.117172450 -0.841650045
## [271,]  0.058390380  0.788983893
## [272,]  0.062226434 -0.005549539
## [273,]  0.120922819 -0.511551264
## [274,] -0.104788706 -0.658045736
## [275,]  0.155305470 -0.417142635
## [276,]  0.258037515  0.001018338
## [277,] -0.471111047 -0.560894424
## [278,] -0.009003091  0.546602298
## [279,]  0.087872999  0.607421705
## [280,] -0.181710770 -0.644080424
## [281,] -0.184704565  0.404085944
## [282,]  0.381975583 -0.300021491
## [283,] -0.599984450 -0.026298504
## [284,] -0.130302106  0.170677295
## [285,] -0.054769022  0.159784347
## [286,] -0.357835410  0.115076387
## [287,] -0.335197519  0.362168104
## [288,]  0.068117172  0.532982330
## [289,] -0.109459288 -0.700975579
## [290,]  0.057996353  0.237331002
## [291,]  0.442745185 -0.109642684
## [292,] -0.638324403  0.131842402
## [293,] -0.586836031 -0.339105240
## [294,]  0.622801658 -0.405256743
## [295,]  0.146444590 -1.191554915
## [296,]  0.643560584  0.500112321
## [297,]  0.473122824  1.188323428
## [298,]  0.244203227  0.124670211
## [299,] -0.932773979 -0.723538859
## [300,]  0.720091571  0.108483530
## [301,] -0.501085666 -0.447556210
## [302,]  0.718340959 -0.098268391
## [303,]  0.109617474 -0.207952469
## [304,]  0.030515055  0.610897882
## [305,] -0.400852865  0.425130764
## [306,] -0.037178820  0.247090067
## [307,] -0.562633443 -0.019336438
## [308,] -0.714004235 -0.783153726
## [309,]  0.737576367  0.096973111
plot(cancer_pca)

#get the original value of the data based on PCA
center <- cancer_pca$center
scale <- cancer_pca$scale
new_cancer <- as.matrix(cancer[,-1])
new_cancer
##        GENDER AGE SMOKING YELLOW_FINGERS ANXIETY PEER_PRESSURE CHRONIC DISEASE
##   [1,]      1  69       1              2       2             1               1
##   [2,]      1  74       2              1       1             1               2
##   [3,]      2  59       1              1       1             2               1
##   [4,]      1  63       2              2       2             1               1
##   [5,]      2  63       1              2       1             1               1
##   [6,]      2  75       1              2       1             1               2
##   [7,]      1  52       2              1       1             1               1
##   [8,]      2  51       2              2       2             2               1
##   [9,]      2  68       2              1       2             1               1
##  [10,]      1  53       2              2       2             2               2
##  [11,]      2  61       2              2       2             2               2
##  [12,]      1  72       1              1       1             1               2
##  [13,]      2  60       2              1       1             1               1
##  [14,]      1  58       2              1       1             1               1
##  [15,]      1  69       2              1       1             1               1
##  [16,]      2  48       1              2       2             2               2
##  [17,]      1  75       2              1       1             1               2
##  [18,]      1  57       2              2       2             2               2
##  [19,]      2  68       2              2       2             2               2
##  [20,]      2  61       1              1       1             1               2
##  [21,]      2  44       2              2       2             2               2
##  [22,]      2  64       1              2       2             2               1
##  [23,]      2  21       2              1       1             1               2
##  [24,]      1  60       2              1       1             1               1
##  [25,]      1  72       2              2       2             2               2
##  [26,]      1  65       1              2       2             1               1
##  [27,]      2  61       2              2       2             1               1
##  [28,]      1  69       1              1       1             2               1
##  [29,]      2  53       2              2       2             1               2
##  [30,]      1  55       1              2       1             1               1
##  [31,]      2  57       2              2       1             1               1
##  [32,]      1  62       2              1       2             1               1
##  [33,]      1  56       2              2       2             1               1
##  [34,]      2  67       2              2       2             1               2
##  [35,]      1  59       1              2       2             1               1
##  [36,]      2  59       2              2       2             1               2
##  [37,]      1  60       1              2       1             1               2
##  [38,]      2  56       1              1       1             1               2
##  [39,]      1  56       2              1       1             1               2
##  [40,]      1  60       2              1       1             1               2
##  [41,]      1  68       2              1       2             1               1
##  [42,]      1  63       1              1       1             2               1
##  [43,]      2  77       1              2       2             2               2
##  [44,]      1  52       2              1       1             2               1
##  [45,]      2  70       2              2       1             2               2
##  [46,]      1  72       2              2       2             2               2
##  [47,]      1  62       2              2       1             1               2
##  [48,]      2  64       2              2       1             2               1
##  [49,]      2  70       1              1       2             2               2
##  [50,]      1  60       1              1       2             2               2
##  [51,]      2  56       1              1       1             2               2
##  [52,]      1  63       2              2       2             1               2
##  [53,]      2  54       2              1       1             2               1
##  [54,]      1  49       2              1       1             2               2
##  [55,]      2  57       1              2       1             2               2
##  [56,]      1  52       1              2       2             1               2
##  [57,]      2  63       1              2       1             2               1
##  [58,]      1  73       1              1       1             1               2
##  [59,]      1  47       1              2       1             2               2
##  [60,]      1  69       2              2       2             2               1
##  [61,]      1  70       1              2       1             2               2
##  [62,]      2  60       1              2       2             1               1
##  [63,]      1  70       1              2       1             2               1
##  [64,]      2  68       1              1       2             1               2
##  [65,]      1  74       1              2       1             2               1
##  [66,]      2  71       2              2       2             2               2
##  [67,]      2  56       1              2       1             1               2
##  [68,]      1  66       2              1       1             1               1
##  [69,]      2  76       2              2       2             2               1
##  [70,]      2  78       2              2       2             2               1
##  [71,]      1  68       2              2       2             2               1
##  [72,]      2  66       2              2       2             2               1
##  [73,]      1  67       1              1       1             1               2
##  [74,]      2  60       2              1       1             1               2
##  [75,]      1  61       2              1       1             1               1
##  [76,]      1  58       2              1       1             1               1
##  [77,]      2  76       1              2       2             2               2
##  [78,]      1  56       2              1       1             1               1
##  [79,]      1  67       2              2       2             2               2
##  [80,]      2  73       2              2       2             2               1
##  [81,]      2  58       1              1       1             1               1
##  [82,]      2  54       2              2       2             2               2
##  [83,]      2  62       2              2       2             2               2
##  [84,]      2  81       1              1       1             2               2
##  [85,]      1  56       1              1       1             1               2
##  [86,]      1  60       1              2       2             1               1
##  [87,]      1  66       1              2       2             1               2
##  [88,]      1  62       1              2       2             1               1
##  [89,]      2  62       2              2       2             1               2
##  [90,]      2  55       2              1       1             2               2
##  [91,]      2  62       1              1       1             2               1
##  [92,]      2  71       1              1       1             1               2
##  [93,]      1  52       2              1       1             1               2
##  [94,]      2  59       1              2       2             2               2
##  [95,]      1  48       2              1       1             1               2
##  [96,]      1  60       1              2       2             2               1
##  [97,]      2  61       2              2       2             1               1
##  [98,]      1  59       2              1       1             2               1
##  [99,]      1  64       1              2       2             2               1
## [100,]      1  56       2              1       1             1               1
## [101,]      1  58       2              1       1             1               1
## [102,]      2  81       1              2       2             2               2
## [103,]      1  64       2              1       1             1               1
## [104,]      1  62       2              2       2             2               2
## [105,]      2  72       2              2       2             2               1
## [106,]      2  60       1              1       1             1               2
## [107,]      2  61       2              2       2             2               2
## [108,]      2  60       2              2       2             2               2
## [109,]      2  49       1              1       1             2               2
## [110,]      1  53       1              1       1             1               2
## [111,]      1  58       1              2       2             1               1
## [112,]      1  61       2              2       2             1               1
## [113,]      2  68       1              1       1             2               1
## [114,]      1  60       2              2       2             1               1
## [115,]      2  72       1              2       1             1               1
## [116,]      2  72       1              2       1             1               2
## [117,]      1  57       2              1       1             1               1
## [118,]      2  51       2              2       2             2               1
## [119,]      2  54       2              2       2             2               1
## [120,]      2  56       1              2       2             2               1
## [121,]      1  77       2              2       2             2               1
## [122,]      1  64       1              1       1             1               2
## [123,]      1  57       2              1       2             1               2
## [124,]      2  66       2              2       2             1               2
## [125,]      1  70       2              1       1             1               1
## [126,]      2  53       1              2       2             2               2
## [127,]      1  51       2              1       1             1               1
## [128,]      1  58       2              2       2             2               2
## [129,]      2  58       2              2       2             2               1
## [130,]      2  63       1              1       1             1               2
## [131,]      2  51       2              2       2             2               1
## [132,]      2  61       1              2       2             2               1
## [133,]      2  61       2              1       1             1               2
## [134,]      1  76       2              1       1             1               1
## [135,]      1  71       2              2       2             1               2
## [136,]      1  69       1              1       2             1               1
## [137,]      2  56       2              2       2             1               1
## [138,]      1  67       1              1       1             2               1
## [139,]      2  54       2              2       2             1               2
## [140,]      1  63       1              2       1             1               1
## [141,]      2  47       2              2       1             2               2
## [142,]      1  62       2              1       2             1               1
## [143,]      1  65       2              2       2             2               1
## [144,]      2  63       2              2       2             2               2
## [145,]      1  64       1              2       2             2               1
## [146,]      2  65       2              2       2             2               1
## [147,]      1  51       1              2       1             1               2
## [148,]      2  56       1              1       1             2               2
## [149,]      1  70       2              1       1             1               1
## [150,]      1  58       2              1       1             1               1
## [151,]      1  67       2              1       2             1               1
## [152,]      1  62       1              1       1             2               1
## [153,]      2  74       1              2       2             2               2
## [154,]      1  69       2              1       1             2               1
## [155,]      2  64       2              2       1             2               2
## [156,]      1  75       2              2       2             2               2
## [157,]      1  47       2              2       1             1               2
## [158,]      2  57       2              2       1             2               1
## [159,]      2  56       1              1       2             2               2
## [160,]      1  68       1              1       2             2               2
## [161,]      2  55       1              1       1             2               2
## [162,]      1  62       2              2       2             1               2
## [163,]      2  73       2              1       1             2               1
## [164,]      1  68       2              1       1             2               2
## [165,]      2  75       1              2       1             2               2
## [166,]      1  63       1              2       2             1               2
## [167,]      2  61       1              2       1             2               1
## [168,]      1  62       1              1       1             1               2
## [169,]      1  44       1              2       1             2               2
## [170,]      1  56       2              2       2             2               1
## [171,]      1  54       1              2       1             2               2
## [172,]      2  57       1              2       2             1               1
## [173,]      1  56       1              2       1             2               1
## [174,]      2  69       1              1       2             1               2
## [175,]      1  72       1              2       1             2               1
## [176,]      2  59       2              2       2             2               2
## [177,]      2  70       1              2       1             1               2
## [178,]      1  64       2              1       1             1               1
## [179,]      2  61       2              2       2             2               1
## [180,]      2  72       2              2       2             2               1
## [181,]      1  63       2              2       2             2               1
## [182,]      2  74       2              2       2             2               1
## [183,]      1  71       1              1       1             1               2
## [184,]      2  71       2              1       1             1               2
## [185,]      1  72       2              1       1             1               1
## [186,]      1  77       2              1       1             1               1
## [187,]      2  72       1              2       2             2               2
## [188,]      1  55       2              1       1             1               1
## [189,]      1  65       2              2       2             2               2
## [190,]      2  67       2              2       2             2               1
## [191,]      2  69       1              1       1             1               2
## [192,]      2  55       2              2       2             2               2
## [193,]      2  51       2              2       2             2               2
## [194,]      2  64       1              1       1             2               2
## [195,]      1  63       1              1       1             1               2
## [196,]      1  69       1              2       2             1               1
## [197,]      1  64       1              2       2             1               2
## [198,]      1  59       1              2       2             1               1
## [199,]      2  73       2              2       2             1               2
## [200,]      2  55       2              1       1             2               2
## [201,]      2  63       1              1       1             2               1
## [202,]      2  60       1              1       1             1               2
## [203,]      1  74       2              1       1             1               2
## [204,]      2  65       1              2       2             2               2
## [205,]      1  79       2              1       1             1               2
## [206,]      1  62       1              2       2             2               1
## [207,]      2  71       2              2       2             1               1
## [208,]      1  63       2              1       1             2               1
## [209,]      1  67       1              2       2             2               1
## [210,]      1  55       2              1       1             1               1
## [211,]      1  54       2              1       1             1               1
## [212,]      2  77       1              2       2             2               2
## [213,]      1  58       2              1       1             1               1
## [214,]      1  64       2              2       2             2               2
## [215,]      2  61       2              2       2             2               1
## [216,]      2  62       1              1       1             1               2
## [217,]      2  67       2              2       2             2               2
## [218,]      2  56       2              2       2             2               2
## [219,]      2  70       1              1       1             2               2
## [220,]      1  70       1              1       1             1               2
## [221,]      2  57       1              1       2             2               2
## [222,]      1  61       1              1       2             2               2
## [223,]      2  77       1              1       1             2               2
## [224,]      1  63       2              2       2             1               2
## [225,]      2  62       2              1       1             2               1
## [226,]      1  59       2              1       1             2               2
## [227,]      2  70       1              2       1             2               2
## [228,]      1  71       1              2       2             1               2
## [229,]      2  56       1              2       1             2               1
## [230,]      1  57       1              1       1             1               2
## [231,]      1  78       1              2       1             2               2
## [232,]      1  64       2              2       2             2               1
## [233,]      1  62       1              2       1             2               2
## [234,]      2  49       1              2       2             1               1
## [235,]      1  77       1              2       1             2               1
## [236,]      2  64       1              1       2             1               2
## [237,]      1  63       1              2       1             2               1
## [238,]      2  54       2              2       2             2               2
## [239,]      2  38       1              2       1             1               2
## [240,]      2  75       1              2       2             2               1
## [241,]      2  70       2              1       1             2               2
## [242,]      1  59       2              1       1             1               1
## [243,]      1  77       2              2       2             1               2
## [244,]      1  61       1              1       2             1               2
## [245,]      2  64       2              2       2             1               1
## [246,]      1  59       1              1       1             2               1
## [247,]      2  71       2              2       2             1               2
## [248,]      1  67       1              2       1             1               1
## [249,]      2  64       2              2       1             2               2
## [250,]      1  68       2              1       2             1               1
## [251,]      1  69       2              2       2             2               1
## [252,]      2  64       2              2       2             2               2
## [253,]      1  59       1              2       2             2               2
## [254,]      2  67       2              2       2             2               1
## [255,]      1  74       1              2       1             1               2
## [256,]      2  77       1              1       1             2               2
## [257,]      1  60       2              1       1             1               1
## [258,]      1  64       2              1       1             1               1
## [259,]      1  70       2              1       2             1               1
## [260,]      1  58       1              1       1             2               1
## [261,]      2  59       1              2       2             2               2
## [262,]      1  39       2              1       1             2               1
## [263,]      2  67       1              2       1             1               1
## [264,]      2  71       1              2       1             1               2
## [265,]      1  70       2              1       1             1               1
## [266,]      2  60       2              2       2             2               1
## [267,]      2  55       2              1       2             1               1
## [268,]      1  60       2              2       2             2               2
## [269,]      2  55       2              2       2             2               2
## [270,]      1  55       1              1       1             1               2
## [271,]      2  70       2              1       1             1               1
## [272,]      1  63       2              1       1             1               1
## [273,]      1  64       2              1       1             1               1
## [274,]      2  59       1              2       2             2               2
## [275,]      1  56       2              1       1             1               2
## [276,]      1  64       2              2       2             2               2
## [277,]      2  62       2              2       2             2               2
## [278,]      2  87       1              1       1             1               2
## [279,]      2  77       2              2       2             2               2
## [280,]      2  59       1              2       2             2               1
## [281,]      2  59       2              1       1             1               2
## [282,]      1  55       2              1       1             1               1
## [283,]      1  46       1              2       2             1               1
## [284,]      1  60       1              2       2             1               1
## [285,]      1  58       2              2       2             2               2
## [286,]      2  58       2              2       2             2               1
## [287,]      2  63       1              1       1             1               2
## [288,]      2  51       2              2       2             2               1
## [289,]      2  61       1              2       2             2               1
## [290,]      2  61       2              1       1             1               2
## [291,]      1  76       2              1       1             1               1
## [292,]      1  71       2              2       2             1               2
## [293,]      1  69       1              1       2             1               1
## [294,]      2  56       2              2       2             1               1
## [295,]      1  67       1              1       1             2               1
## [296,]      2  54       2              2       2             1               2
## [297,]      1  63       1              2       1             1               1
## [298,]      2  47       2              2       1             2               2
## [299,]      1  62       2              1       2             1               1
## [300,]      1  65       2              2       2             2               1
## [301,]      2  63       2              2       2             2               2
## [302,]      1  64       1              2       2             2               1
## [303,]      2  65       2              2       2             2               1
## [304,]      1  51       1              2       1             1               2
## [305,]      2  56       1              1       1             2               2
## [306,]      1  70       2              1       1             1               1
## [307,]      1  58       2              1       1             1               1
## [308,]      1  67       2              1       2             1               1
## [309,]      1  62       1              1       1             2               1
##        FATIGUE ALLERGY WHEEZING ALCOHOL_CONSUMING COUGHING SHORTNESS OF BREATH
##   [1,]       2       1        2                 2        2                   2
##   [2,]       2       2        1                 1        1                   2
##   [3,]       2       1        2                 1        2                   2
##   [4,]       1       1        1                 2        1                   1
##   [5,]       1       1        2                 1        2                   2
##   [6,]       2       2        2                 1        2                   2
##   [7,]       2       1        2                 2        2                   2
##   [8,]       2       2        1                 1        1                   2
##   [9,]       2       1        1                 1        1                   1
##  [10,]       1       2        1                 2        1                   1
##  [11,]       2       1        2                 1        2                   2
##  [12,]       2       2        2                 2        2                   2
##  [13,]       2       1        1                 1        1                   2
##  [14,]       2       2        2                 2        2                   2
##  [15,]       1       2        2                 2        2                   1
##  [16,]       2       2        2                 1        2                   2
##  [17,]       1       2        2                 2        2                   2
##  [18,]       1       1        1                 2        1                   1
##  [19,]       2       1        1                 1        2                   2
##  [20,]       2       1        1                 1        1                   2
##  [21,]       2       1        1                 1        1                   2
##  [22,]       1       2        2                 1        2                   1
##  [23,]       2       2        1                 1        1                   2
##  [24,]       2       2        2                 2        2                   2
##  [25,]       1       2        2                 2        2                   1
##  [26,]       2       1        2                 2        2                   2
##  [27,]       2       2        1                 2        1                   2
##  [28,]       2       1        2                 1        2                   2
##  [29,]       1       1        2                 2        1                   2
##  [30,]       2       1        2                 2        2                   2
##  [31,]       1       1        1                 1        1                   2
##  [32,]       1       2        2                 2        1                   2
##  [33,]       1       1        1                 1        1                   2
##  [34,]       1       1        1                 1        1                   2
##  [35,]       1       1        1                 1        1                   1
##  [36,]       1       1        1                 1        1                   2
##  [37,]       1       1        2                 1        2                   2
##  [38,]       1       1        2                 1        1                   2
##  [39,]       1       1        2                 1        1                   2
##  [40,]       1       2        2                 2        2                   1
##  [41,]       2       2        1                 2        2                   2
##  [42,]       2       2        2                 2        1                   1
##  [43,]       2       1        2                 2        1                   1
##  [44,]       2       2        2                 2        1                   2
##  [45,]       1       1        1                 2        2                   1
##  [46,]       2       1        2                 2        2                   2
##  [47,]       1       2        1                 1        2                   2
##  [48,]       2       1        2                 2        2                   1
##  [49,]       2       2        2                 2        1                   2
##  [50,]       1       1        1                 2        1                   1
##  [51,]       2       2        2                 2        1                   1
##  [52,]       2       2        2                 1        1                   2
##  [53,]       2       2        2                 2        2                   1
##  [54,]       2       2        2                 2        2                   2
##  [55,]       2       2        1                 2        2                   1
##  [56,]       1       2        2                 2        2                   1
##  [57,]       2       1        1                 1        2                   2
##  [58,]       1       2        1                 2        2                   2
##  [59,]       2       1        2                 1        1                   2
##  [60,]       2       2        1                 2        2                   2
##  [61,]       2       2        2                 2        2                   1
##  [62,]       1       1        1                 1        2                   1
##  [63,]       2       2        2                 2        2                   1
##  [64,]       1       2        2                 2        1                   1
##  [65,]       2       2        2                 2        2                   2
##  [66,]       2       1        2                 1        2                   1
##  [67,]       2       2        2                 1        2                   2
##  [68,]       2       1        2                 2        2                   2
##  [69,]       2       2        1                 1        1                   2
##  [70,]       2       1        2                 1        2                   2
##  [71,]       1       2        1                 2        1                   1
##  [72,]       2       1        2                 1        2                   2
##  [73,]       2       2        2                 2        2                   2
##  [74,]       2       1        1                 1        1                   2
##  [75,]       2       2        2                 2        2                   2
##  [76,]       1       2        2                 2        2                   1
##  [77,]       2       2        2                 1        2                   2
##  [78,]       2       2        2                 2        2                   2
##  [79,]       1       1        1                 2        1                   1
##  [80,]       2       1        1                 1        2                   2
##  [81,]       2       1        1                 1        1                   2
##  [82,]       2       1        1                 1        1                   2
##  [83,]       1       2        2                 2        1                   1
##  [84,]       1       2        1                 2        2                   2
##  [85,]       2       2        1                 2        2                   2
##  [86,]       1       1        2                 2        2                   2
##  [87,]       1       2        1                 2        2                   2
##  [88,]       2       1        2                 1        1                   1
##  [89,]       1       2        1                 2        1                   1
##  [90,]       2       2        2                 2        1                   1
##  [91,]       1       1        2                 2        1                   1
##  [92,]       2       2        1                 1        2                   2
##  [93,]       2       2        2                 2        1                   1
##  [94,]       1       2        2                 2        2                   2
##  [95,]       2       2        1                 2        2                   2
##  [96,]       2       1        1                 1        1                   1
##  [97,]       1       2        1                 2        2                   2
##  [98,]       1       1        1                 2        2                   2
##  [99,]       2       2        1                 1        2                   1
## [100,]       2       2        2                 2        2                   2
## [101,]       1       2        2                 2        2                   1
## [102,]       2       2        2                 1        2                   2
## [103,]       2       2        2                 2        2                   2
## [104,]       1       1        1                 2        1                   1
## [105,]       2       1        1                 1        2                   2
## [106,]       2       1        1                 1        1                   2
## [107,]       2       1        1                 1        1                   2
## [108,]       1       2        2                 2        1                   1
## [109,]       1       2        1                 2        2                   2
## [110,]       2       2        1                 2        1                   2
## [111,]       2       1        2                 2        2                   2
## [112,]       2       2        1                 2        1                   2
## [113,]       2       1        2                 1        2                   2
## [114,]       1       1        1                 2        1                   1
## [115,]       2       1        2                 2        2                   2
## [116,]       2       2        2                 1        2                   2
## [117,]       2       1        2                 2        2                   2
## [118,]       2       2        1                 1        1                   2
## [119,]       2       1        2                 1        2                   2
## [120,]       1       2        1                 2        1                   1
## [121,]       2       1        2                 1        2                   2
## [122,]       2       2        2                 2        2                   2
## [123,]       2       1        1                 1        1                   2
## [124,]       2       2        2                 2        2                   2
## [125,]       1       2        1                 2        2                   1
## [126,]       2       2        1                 1        2                   2
## [127,]       2       1        2                 2        2                   2
## [128,]       1       1        1                 2        1                   1
## [129,]       2       1        1                 1        2                   2
## [130,]       2       1        1                 1        1                   2
## [131,]       2       1        1                 1        1                   2
## [132,]       1       2        2                 1        2                   1
## [133,]       2       2        1                 1        1                   2
## [134,]       2       2        2                 2        2                   2
## [135,]       1       2        2                 2        2                   1
## [136,]       2       1        2                 2        2                   2
## [137,]       2       2        1                 1        1                   2
## [138,]       2       1        2                 1        2                   2
## [139,]       1       1        2                 2        1                   2
## [140,]       2       1        2                 2        2                   2
## [141,]       2       2        2                 1        2                   2
## [142,]       2       1        2                 2        2                   2
## [143,]       2       2        1                 1        1                   2
## [144,]       2       2        2                 1        2                   2
## [145,]       1       2        1                 2        1                   1
## [146,]       2       1        2                 1        2                   2
## [147,]       2       2        2                 2        2                   2
## [148,]       2       1        1                 2        2                   2
## [149,]       2       2        2                 2        2                   2
## [150,]       1       2        2                 2        2                   1
## [151,]       2       2        1                 2        2                   2
## [152,]       2       2        2                 2        1                   1
## [153,]       2       1        2                 2        1                   1
## [154,]       1       1        1                 1        1                   1
## [155,]       1       1        1                 1        1                   1
## [156,]       1       1        1                 1        1                   1
## [157,]       1       1        1                 1        1                   1
## [158,]       1       1        1                 1        1                   1
## [159,]       2       2        2                 2        1                   2
## [160,]       1       1        1                 2        1                   1
## [161,]       2       2        2                 2        1                   1
## [162,]       2       2        2                 1        1                   2
## [163,]       2       2        2                 2        2                   1
## [164,]       2       2        2                 2        2                   2
## [165,]       2       2        1                 2        2                   1
## [166,]       1       2        2                 2        2                   1
## [167,]       2       1        1                 1        2                   2
## [168,]       1       2        1                 2        2                   2
## [169,]       2       1        2                 1        1                   2
## [170,]       2       2        1                 2        2                   2
## [171,]       2       2        2                 2        2                   1
## [172,]       1       1        1                 1        2                   1
## [173,]       2       2        2                 2        2                   1
## [174,]       1       2        2                 2        1                   1
## [175,]       2       2        2                 2        2                   2
## [176,]       2       1        2                 1        2                   1
## [177,]       2       2        2                 1        2                   2
## [178,]       2       1        2                 2        2                   2
## [179,]       2       2        1                 1        1                   2
## [180,]       2       1        2                 1        2                   2
## [181,]       1       2        1                 2        1                   1
## [182,]       2       1        2                 1        2                   2
## [183,]       2       2        2                 2        2                   2
## [184,]       2       1        1                 1        1                   2
## [185,]       2       2        2                 2        2                   2
## [186,]       1       2        2                 2        2                   1
## [187,]       2       1        1                 1        1                   1
## [188,]       2       1        1                 1        1                   1
## [189,]       1       1        1                 1        1                   1
## [190,]       2       1        1                 1        1                   1
## [191,]       2       1        1                 1        1                   1
## [192,]       2       1        1                 1        1                   1
## [193,]       1       1        1                 1        1                   1
## [194,]       1       1        1                 1        1                   1
## [195,]       2       2        1                 2        2                   2
## [196,]       1       1        2                 2        2                   2
## [197,]       1       2        1                 2        2                   2
## [198,]       2       1        2                 1        1                   1
## [199,]       1       2        1                 2        1                   1
## [200,]       2       2        2                 2        1                   1
## [201,]       1       1        2                 2        1                   1
## [202,]       2       2        1                 1        2                   2
## [203,]       2       2        2                 2        1                   1
## [204,]       1       2        2                 2        2                   2
## [205,]       2       2        1                 2        2                   2
## [206,]       2       1        1                 1        1                   1
## [207,]       1       2        1                 2        2                   2
## [208,]       1       1        1                 1        2                   2
## [209,]       2       2        1                 1        2                   1
## [210,]       2       2        2                 2        2                   2
## [211,]       1       2        2                 2        2                   1
## [212,]       2       2        2                 1        2                   2
## [213,]       2       2        2                 2        2                   2
## [214,]       1       1        1                 2        1                   1
## [215,]       2       1        1                 1        2                   2
## [216,]       2       1        1                 1        1                   2
## [217,]       2       1        1                 1        1                   2
## [218,]       1       2        2                 2        1                   1
## [219,]       1       2        1                 2        2                   2
## [220,]       2       2        1                 2        2                   2
## [221,]       2       2        2                 2        1                   2
## [222,]       1       1        1                 2        1                   1
## [223,]       2       2        2                 2        1                   1
## [224,]       2       2        2                 1        1                   2
## [225,]       2       2        2                 2        2                   1
## [226,]       2       2        2                 2        2                   2
## [227,]       2       2        1                 2        2                   1
## [228,]       1       2        2                 2        2                   1
## [229,]       2       1        1                 1        2                   2
## [230,]       1       2        1                 2        2                   2
## [231,]       2       1        2                 1        1                   2
## [232,]       2       2        1                 2        2                   2
## [233,]       2       2        2                 2        2                   1
## [234,]       1       1        1                 1        2                   1
## [235,]       2       2        2                 2        2                   1
## [236,]       1       2        2                 2        1                   1
## [237,]       2       2        2                 2        2                   2
## [238,]       2       1        2                 1        2                   1
## [239,]       2       2        2                 1        2                   2
## [240,]       1       2        2                 1        2                   1
## [241,]       1       2        1                 1        1                   2
## [242,]       2       2        2                 2        2                   2
## [243,]       1       2        2                 1        1                   1
## [244,]       2       1        2                 2        2                   2
## [245,]       2       2        1                 1        1                   2
## [246,]       2       1        2                 1        1                   2
## [247,]       1       1        2                 2        1                   2
## [248,]       2       1        2                 2        2                   2
## [249,]       2       2        2                 1        2                   2
## [250,]       2       1        1                 1        1                   1
## [251,]       2       2        1                 1        1                   2
## [252,]       2       2        2                 1        2                   2
## [253,]       1       2        1                 2        1                   1
## [254,]       2       1        2                 1        2                   2
## [255,]       2       2        2                 2        2                   2
## [256,]       2       1        1                 2        2                   2
## [257,]       2       2        2                 2        2                   2
## [258,]       1       2        2                 2        2                   1
## [259,]       2       2        1                 2        2                   2
## [260,]       2       2        2                 2        1                   1
## [261,]       2       1        2                 2        1                   1
## [262,]       2       2        2                 2        1                   2
## [263,]       1       1        2                 1        2                   2
## [264,]       2       2        2                 1        2                   2
## [265,]       2       1        2                 2        2                   2
## [266,]       2       2        1                 1        1                   2
## [267,]       2       1        1                 1        1                   1
## [268,]       1       2        1                 2        1                   1
## [269,]       2       1        2                 1        2                   2
## [270,]       2       2        2                 2        2                   2
## [271,]       2       1        1                 1        1                   2
## [272,]       2       2        2                 2        2                   2
## [273,]       1       2        2                 2        2                   1
## [274,]       2       2        2                 1        2                   2
## [275,]       1       2        2                 2        2                   2
## [276,]       1       1        1                 2        1                   1
## [277,]       2       1        1                 1        2                   2
## [278,]       2       1        1                 1        1                   2
## [279,]       2       1        1                 1        1                   2
## [280,]       1       2        2                 1        2                   1
## [281,]       2       2        1                 1        1                   2
## [282,]       2       2        1                 1        1                   2
## [283,]       1       1        1                 1        1                   1
## [284,]       2       1        2                 2        2                   2
## [285,]       1       1        1                 2        1                   1
## [286,]       2       1        1                 1        2                   2
## [287,]       2       1        1                 1        1                   2
## [288,]       2       1        1                 1        1                   2
## [289,]       1       2        2                 1        2                   1
## [290,]       2       2        1                 1        1                   2
## [291,]       2       2        2                 2        2                   2
## [292,]       1       2        2                 2        2                   1
## [293,]       2       1        2                 2        2                   2
## [294,]       2       2        1                 1        1                   2
## [295,]       2       1        2                 1        2                   2
## [296,]       1       1        2                 2        1                   2
## [297,]       2       1        2                 2        2                   2
## [298,]       2       2        2                 1        2                   2
## [299,]       2       1        2                 2        2                   2
## [300,]       2       2        1                 1        1                   2
## [301,]       2       2        2                 1        2                   2
## [302,]       1       2        1                 2        1                   1
## [303,]       2       1        2                 1        2                   2
## [304,]       2       2        2                 2        2                   2
## [305,]       2       1        1                 2        2                   2
## [306,]       2       2        2                 2        2                   2
## [307,]       1       2        2                 2        2                   1
## [308,]       2       2        1                 2        2                   2
## [309,]       2       2        2                 2        1                   1
##        SWALLOWING DIFFICULTY CHEST PAIN    WEIGHT HEIGHT_INCH
##   [1,]                     2          2 112.99250    65.78331
##   [2,]                     2          2 136.48730    71.51521
##   [3,]                     1          2 153.02690    69.39874
##   [4,]                     2          2 142.33540    68.21660
##   [5,]                     1          1 144.29710    67.78781
##   [6,]                     1          1 123.30240    68.69784
##   [7,]                     1          2 141.49470    69.80204
##   [8,]                     2          1 136.46230    70.01472
##   [9,]                     1          1 112.37230    67.90265
##  [10,]                     2          2 120.66720    66.78236
##  [11,]                     2          1 127.45160    66.48769
##  [12,]                     1          2 114.14300    67.62333
##  [13,]                     1          1 125.61070    68.30248
##  [14,]                     1          2 122.46180    67.11656
##  [15,]                     1          2 116.08660    68.27967
##  [16,]                     2          1 139.99750    71.09160
##  [17,]                     1          2 129.50230    66.46100
##  [18,]                     2          2 142.97330    68.64927
##  [19,]                     1          1 137.90250    71.23033
##  [20,]                     1          1 124.04490    67.13118
##  [21,]                     2          1 141.28070    67.83379
##  [22,]                     2          1 143.53920    68.87881
##  [23,]                     1          1  97.90191    63.48115
##  [24,]                     1          2 129.50270    68.42187
##  [25,]                     2          2 141.85010    67.62804
##  [26,]                     2          2 129.72440    67.20864
##  [27,]                     2          2 142.42350    70.84235
##  [28,]                     1          2 131.55020    67.49434
##  [29,]                     2          2 108.33240    66.53401
##  [30,]                     1          1 113.89220    65.44098
##  [31,]                     1          1 103.30160    69.52330
##  [32,]                     2          2 120.75360    65.81320
##  [33,]                     2          1 125.78860    67.81630
##  [34,]                     2          2 136.22250    70.59505
##  [35,]                     2          2 140.10150    71.80484
##  [36,]                     2          1 128.74870    69.20613
##  [37,]                     1          2 141.79940    66.80368
##  [38,]                     2          1 121.23190    67.65893
##  [39,]                     1          2 131.34780    67.80701
##  [40,]                     1          2 106.71150    64.04535
##  [41,]                     1          2 124.35980    68.57463
##  [42,]                     2          1 124.85910    65.18357
##  [43,]                     1          1 139.67110    69.65814
##  [44,]                     1          2 137.36960    67.96731
##  [45,]                     2          1 106.44990    65.98088
##  [46,]                     2          2 128.76390    68.67249
##  [47,]                     2          2 145.68370    66.88088
##  [48,]                     2          2 116.81900    67.69868
##  [49,]                     2          2 143.62150    69.82117
##  [50,]                     1          1 134.93250    69.08817
##  [51,]                     1          2 147.02190    69.91479
##  [52,]                     1          1 126.32850    67.33182
##  [53,]                     2          2 125.48390    70.26939
##  [54,]                     2          2 115.70840    69.10344
##  [55,]                     1          1 123.48920    65.38356
##  [56,]                     2          1 147.89260    70.18447
##  [57,]                     1          2 155.89870    70.40617
##  [58,]                     2          2 128.07420    66.54376
##  [59,]                     2          2 119.37010    66.36418
##  [60,]                     1          2 133.81480    67.53700
##  [61,]                     2          2 128.73250    66.50418
##  [62,]                     1          1 137.54530    68.99958
##  [63,]                     1          1 129.76040    68.30355
##  [64,]                     2          1 128.82400    67.01255
##  [65,]                     1          2 135.31650    70.80592
##  [66,]                     2          2 109.61130    68.21951
##  [67,]                     1          2 142.46840    69.05914
##  [68,]                     1          1 132.74900    67.73103
##  [69,]                     2          2 103.52750    67.21568
##  [70,]                     2          1 124.72990    67.36763
##  [71,]                     2          2 129.31370    65.27033
##  [72,]                     2          1 134.01750    70.84278
##  [73,]                     1          2 140.39690    69.92442
##  [74,]                     1          1 102.83510    64.28508
##  [75,]                     1          2 128.52140    68.24520
##  [76,]                     1          1 120.29910    66.35708
##  [77,]                     2          2 138.60360    68.36275
##  [78,]                     1          2 132.95740    65.47690
##  [79,]                     2          2 115.62330    69.71947
##  [80,]                     2          2 122.52400    67.72554
##  [81,]                     1          1 134.62540    68.63941
##  [82,]                     2          1 121.89860    66.78405
##  [83,]                     2          2 155.37670    70.05147
##  [84,]                     1          1 128.94180    66.27848
##  [85,]                     1          2 129.10130    69.20198
##  [86,]                     2          1 139.47330    69.13481
##  [87,]                     1          2 140.89010    67.36436
##  [88,]                     2          2 131.59160    70.09297
##  [89,]                     1          1 121.12320    70.17660
##  [90,]                     2          2 131.51270    68.22556
##  [91,]                     2          2 136.54790    68.12932
##  [92,]                     1          2 141.48960    70.24256
##  [93,]                     2          2 140.61040    71.48752
##  [94,]                     2          1 112.14130    69.20477
##  [95,]                     2          2 133.45700    70.06306
##  [96,]                     2          2 131.80010    70.55703
##  [97,]                     1          2 120.02850    66.28644
##  [98,]                     1          1 123.09720    63.42577
##  [99,]                     2          1 128.14320    66.76711
## [100,]                     1          2 115.47590    68.88741
## [101,]                     1          1 102.09270    64.87434
## [102,]                     2          2 130.35300    67.09272
## [103,]                     1          2 134.18420    68.34761
## [104,]                     2          2  98.64133    65.61073
## [105,]                     2          2 114.55990    67.75551
## [106,]                     1          1 123.49170    68.02120
## [107,]                     2          1 123.04800    67.66193
## [108,]                     2          2 126.47720    66.31460
## [109,]                     1          1 128.41700    69.43706
## [110,]                     1          2 127.19410    63.83624
## [111,]                     2          2 122.05620    67.72277
## [112,]                     2          2 127.60640    70.05098
## [113,]                     1          2 131.64230    70.18602
## [114,]                     2          2 111.89550    65.94588
## [115,]                     1          1 122.03900    70.00700
## [116,]                     1          1 128.55470    68.61129
## [117,]                     1          2 132.67920    68.80817
## [118,]                     2          1 136.06320    69.76212
## [119,]                     2          1 115.94030    65.45539
## [120,]                     2          2 136.90410    68.82534
## [121,]                     2          1 119.88040    65.80030
## [122,]                     1          2 109.00550    67.21474
## [123,]                     1          1 128.27050    69.42021
## [124,]                     1          1 135.29130    68.94396
## [125,]                     1          2 106.85580    67.94150
## [126,]                     1          1 123.29390    65.62506
## [127,]                     1          2 109.51430    66.49607
## [128,]                     2          2 119.30870    67.92809
## [129,]                     2          1 140.24020    68.89415
## [130,]                     1          1 133.98410    70.24100
## [131,]                     2          1 132.58070    68.26623
## [132,]                     2          1 130.69880    71.23161
## [133,]                     1          1 115.56370    69.09747
## [134,]                     1          2 123.79410    64.39693
## [135,]                     2          2 128.14270    71.09585
## [136,]                     2          1 135.96460    68.21868
## [137,]                     1          2 116.62730    65.91721
## [138,]                     1          2 126.82410    67.43690
## [139,]                     2          2 151.39130    73.90107
## [140,]                     1          1 130.40220    69.98149
## [141,]                     1          1 136.20680    69.51862
## [142,]                     1          2 113.39890    65.18437
## [143,]                     2          1 125.32870    68.00869
## [144,]                     2          2 127.58460    68.33840
## [145,]                     2          2 107.15640    65.18417
## [146,]                     2          1 116.45880    68.26209
## [147,]                     1          2 133.84020    68.56865
## [148,]                     2          1 112.89010    64.49675
## [149,]                     1          2 130.75680    68.71053
## [150,]                     1          2 137.75710    68.89148
## [151,]                     1          2 125.40360    69.54011
## [152,]                     2          1 138.46590    67.39964
## [153,]                     1          1 120.81840    66.47521
## [154,]                     1          2 140.15390    66.01217
## [155,]                     1          1 136.73970    72.44434
## [156,]                     1          2 106.11390    64.12642
## [157,]                     1          2 158.95620    70.98112
## [158,]                     1          2 108.78680    67.50124
## [159,]                     2          2 138.77580    72.01515
## [160,]                     1          1 115.91360    65.31143
## [161,]                     1          2 146.29220    67.07509
## [162,]                     1          1 109.87650    64.39148
## [163,]                     2          2 139.04990    69.37003
## [164,]                     2          2 119.90010    68.37921
## [165,]                     1          1 128.30690    65.31018
## [166,]                     2          1 127.24280    67.13690
## [167,]                     1          2 115.23060    68.39468
## [168,]                     2          2 124.79750    66.29180
## [169,]                     2          2 126.95110    67.18660
## [170,]                     1          2 111.27110    65.99156
## [171,]                     2          2 122.60890    69.43393
## [172,]                     1          1 124.20840    67.97463
## [173,]                     1          1 124.64530    67.76133
## [174,]                     2          1 119.51690    65.27864
## [175,]                     1          2 139.29830    73.83364
## [176,]                     2          2 104.82650    66.81312
## [177,]                     1          2 123.04240    66.89411
## [178,]                     1          1 118.89230    65.73568
## [179,]                     2          2 121.49390    65.98283
## [180,]                     2          1 119.24880    66.58396
## [181,]                     2          2 135.02390    67.11294
## [182,]                     2          1 116.22800    65.87481
## [183,]                     1          2 109.17310    66.78067
## [184,]                     1          1 124.22370    68.73577
## [185,]                     1          2 141.16450    66.22666
## [186,]                     1          1 129.15010    65.95968
## [187,]                     1          1 127.86930    68.58372
## [188,]                     1          1 120.92440    66.59347
## [189,]                     1          1 127.64660    66.96574
## [190,]                     1          1 101.46930    68.08015
## [191,]                     1          1 144.99270    70.19025
## [192,]                     1          1 110.95230    65.52149
## [193,]                     1          1 132.86250    67.45905
## [194,]                     1          1 146.33850    67.40985
## [195,]                     1          2 145.58940    69.66158
## [196,]                     2          1 120.84310    65.79799
## [197,]                     1          2 115.78130    66.10558
## [198,]                     2          2 128.30190    68.23987
## [199,]                     1          1 127.47180    68.02403
## [200,]                     2          2 127.87610    71.39044
## [201,]                     2          2 121.49970    65.73160
## [202,]                     1          2 112.71480    66.43358
## [203,]                     2          2 135.00200    70.01309
## [204,]                     2          1 128.67890    69.48146
## [205,]                     2          2 124.40620    68.62764
## [206,]                     2          2 140.02600    68.36275
## [207,]                     1          2 117.51900    68.39028
## [208,]                     1          1 143.87370    68.77413
## [209,]                     2          1 141.17030    69.92360
## [210,]                     1          2 155.94140    71.55542
## [211,]                     1          1 134.00930    68.44764
## [212,]                     2          2 130.09750    66.71398
## [213,]                     1          2 106.22650    66.68413
## [214,]                     2          2 112.04890    67.93699
## [215,]                     2          2 136.18840    68.89855
## [216,]                     1          1 131.23600    67.29191
## [217,]                     2          1 131.32310    69.57212
## [218,]                     2          2 119.52610    67.67479
## [219,]                     1          1 116.99650    69.04155
## [220,]                     1          2 138.52550    67.96765
## [221,]                     2          2 109.65180    65.83982
## [222,]                     1          1 130.15690    65.77288
## [223,]                     1          2 137.11140    71.14106
## [224,]                     1          1 113.75900    67.83055
## [225,]                     2          2 114.97250    65.06930
## [226,]                     2          2 127.71490    69.70745
## [227,]                     1          1 121.99720    69.92983
## [228,]                     2          1 117.96070    66.11569
## [229,]                     1          2 127.71410    68.61364
## [230,]                     2          2 117.96190    68.99760
## [231,]                     2          2 125.15540    66.79171
## [232,]                     1          2 141.10260    68.02363
## [233,]                     2          2 145.48220    69.67258
## [234,]                     1          1 116.06500    71.82178
## [235,]                     1          1 135.74580    72.74676
## [236,]                     2          1 132.92480    67.27951
## [237,]                     1          2 115.66220    67.41015
## [238,]                     2          2 114.31840    68.53150
## [239,]                     1          2 148.95200    68.47126
## [240,]                     2          1 142.18780    68.51867
## [241,]                     1          1 134.10400    63.72529
## [242,]                     1          2 141.89260    67.70483
## [243,]                     2          2 138.74440    69.47115
## [244,]                     2          1 134.44900    66.70198
## [245,]                     1          2 117.01670    65.23126
## [246,]                     1          2 115.67520    69.89473
## [247,]                     2          2 134.79050    69.83048
## [248,]                     1          1 120.57460    65.39790
## [249,]                     1          1 120.08350    68.32214
## [250,]                     1          1  84.35980    65.93895
## [251,]                     2          1 138.93940    70.09805
## [252,]                     2          2 143.52450    66.05531
## [253,]                     2          2 123.13470    68.23481
## [254,]                     2          1 115.52610    65.21758
## [255,]                     1          2 120.98440    69.16173
## [256,]                     2          1 120.64730    67.60064
## [257,]                     1          2 124.03520    67.28621
## [258,]                     1          2 117.22380    66.84323
## [259,]                     1          2 127.95980    68.08281
## [260,]                     2          1 116.75270    66.56991
## [261,]                     1          1 121.99570    70.16973
## [262,]                     1          2 123.99520    67.85113
## [263,]                     1          1 108.85500    66.62309
## [264,]                     1          1 104.65740    63.68816
## [265,]                     1          2 132.24800    68.03560
## [266,]                     2          1 127.18340    66.94100
## [267,]                     1          1 125.12090    66.26292
## [268,]                     2          2 133.32200    70.73010
## [269,]                     2          1 122.33640    70.70844
## [270,]                     1          2 130.26360    73.26872
## [271,]                     1          1 116.74310    63.79021
## [272,]                     1          2 125.85340    67.84109
## [273,]                     1          2 100.62700    67.78058
## [274,]                     2          1 118.49450    67.23901
## [275,]                     1          2 137.12550    66.75701
## [276,]                     2          2 118.69910    69.03098
## [277,]                     1          1 124.16410    68.52652
## [278,]                     1          1 124.94420    64.65419
## [279,]                     2          1 126.38890    65.14295
## [280,]                     2          1 121.52550    66.74124
## [281,]                     1          1 133.29510    66.99923
## [282,]                     1          2 127.40720    70.26611
## [283,]                     2          2 125.08000    67.57666
## [284,]                     2          2 102.81140    66.30582
## [285,]                     2          2 134.22120    68.90702
## [286,]                     2          1 100.97580    65.60543
## [287,]                     1          1 145.88860    68.00189
## [288,]                     2          1 155.30460    69.93715
## [289,]                     2          1 138.71750    70.14590
## [290,]                     1          1 116.26110    66.66364
## [291,]                     1          2 120.60870    69.40676
## [292,]                     2          2 114.40830    66.80598
## [293,]                     2          1 133.34060    67.70048
## [294,]                     1          2  92.74955    69.13438
## [295,]                     1          2 131.78250    67.53769
## [296,]                     2          2 118.38650    65.77912
## [297,]                     1          1 131.14660    66.25769
## [298,]                     1          1 130.20330    67.39038
## [299,]                     1          2 129.18360    64.94327
## [300,]                     2          1 143.14450    69.25699
## [301,]                     2          2 138.73070    69.07739
## [302,]                     2          2 130.95280    69.64403
## [303,]                     2          1 124.30320    69.07705
## [304,]                     1          2 135.37020    68.01304
## [305,]                     2          1 124.19880    68.85664
## [306,]                     1          2 111.23890    63.19158
## [307,]                     1          2 129.40370    65.57591
## [308,]                     1          2 127.74440    69.12101
## [309,]                     2          1 121.33110    69.78765
drop(scale(new_cancer,center=center, scale=scale)%*%cancer_pca$rotation[,1])
##   [1] -0.646329947 -0.610508061 -0.749550736  1.096019632  0.036188930
##   [6] -0.532567242 -2.543550172  2.572207921  1.272938608  1.396823254
##  [11]  2.064989024 -3.094017924  0.217887666 -3.138457875 -2.644849262
##  [16]  1.650628200 -2.832351242  1.926614145  2.058726013  0.277622753
##  [21]  3.229605844  1.856494117 -0.050480044 -3.114648178  0.277610744
##  [26] -0.593103049  0.798726715 -1.483179713  1.135171580 -1.513992882
##  [31]  1.249804903 -1.015659657  1.959456710  2.332965976  1.785139801
##  [36]  2.803119610 -0.906183428  0.625607571 -0.980782008 -2.531034433
##  [41] -1.849943675 -0.768929068  1.593703995 -1.913272210  1.543800949
##  [46]  0.292377930 -0.251600030  0.254838293  0.179367433  0.952911843
##  [51] -0.851848170  0.301087025 -0.906545994 -1.669956979  0.195017025
##  [56]  0.200650077  0.518073225 -1.831824121  0.685756178 -0.498748639
##  [61] -0.851501742  1.671406217 -1.102287719  0.487489582 -1.821523333
##  [66]  1.890194887 -0.908993115 -2.188253111  1.922127515  1.831473258
##  [71]  1.111645609  1.972055116 -3.014541351  0.297544932 -3.123513629
##  [76] -2.175119346  0.988165063 -3.171148404  1.909872378  1.884232732
##  [81]  0.148410514  3.159260208  1.589202745 -0.735262114 -2.492696658
##  [86]  0.164831585 -0.791080564  1.019972886  1.355490521 -0.217694604
##  [91]  0.200980870 -1.224091912 -1.377079915  1.105509567 -1.763739245
##  [96]  2.144246653 -0.247301899 -0.943580309  1.434728986 -3.084789560
## [101] -2.211988131  0.934186102 -3.134406710  1.829037095  1.889637650
## [106]  0.304495611  3.150251750  1.504721972 -0.513569276 -2.049787993
## [111] -0.548863117  0.137370850 -0.769133382  1.052948611 -0.832893079
## [116] -0.521560718 -2.590558669  2.565856126  1.890132650  1.809485293
## [121]  1.154753405 -3.068643554  0.603092803 -0.262265717 -2.166676433
## [126]  1.396820173 -2.621538470  1.904628487  2.449232521  0.346806820
## [131]  3.029389183  1.929414827 -0.087138867 -3.286936885 -0.243063096
## [136] -0.885383059  0.779845934 -1.475619881  1.315156524 -1.435594309
## [141]  0.311554205 -1.898169897  1.817982682  1.132188201  1.041211639
## [146]  1.911956582 -2.208254898  0.199618587 -3.151824202 -2.581152399
## [151] -1.821212050 -0.709027954  1.527353442  0.134446169  2.379419131
## [156]  1.816004356  0.693446059  1.637082331  0.296933463  0.822754284
## [161] -0.918911402  0.231900961 -1.013939681 -1.772694007  0.113097963
## [166]  0.075576812  0.477358107 -1.789229364  0.719595969 -0.479345237
## [171] -0.706487604  1.659264316 -1.053631487  0.439619994 -1.736485551
## [176]  1.908193822 -1.025193951 -2.229264288  1.957225328  1.838526733
## [181]  1.180112751  1.811861750 -3.110670459  0.360229263 -3.223541067
## [186] -2.269746579  2.747577269 -0.149697264  2.400777592  2.664155409
## [191]  0.613534144  2.833005133  3.117056920  1.396552964 -2.512642306
## [196]  0.041302770 -0.813244847  0.986709032  1.252252204 -0.137885258
## [201]  0.136542296 -1.270419897 -1.511779573  1.085397022 -1.937338444
## [206]  2.079880884 -0.238660237 -0.159651843  1.500566250 -3.014209221
## [211] -2.105058072  0.942418911 -3.148924082  1.878394695  1.966715740
## [216]  0.277041266  3.171498795  1.556928786 -0.616500433 -2.586211894
## [221]  0.137716815  0.865093182 -0.913971012  0.313977949 -1.072776501
## [226] -1.699472023  0.251825578  0.014567830  0.504752774 -1.698692239
## [231]  0.558690456 -0.464475998 -0.736607022  1.791907070 -1.021622690
## [236]  0.511871527 -1.857682768  1.973432877 -0.844025398  1.798603632
## [241]  0.567970913 -3.128591618  0.921300172 -0.707766669  0.727027732
## [246] -0.813209418  1.137562086 -1.568549443  0.206337661  0.582400965
## [251]  1.852485410  1.069824793  1.320083419  1.826416008 -2.295131492
## [256]  0.184324517 -3.143108851 -2.658851944 -1.871308247 -0.711591973
## [261]  1.686997211 -1.858110215 -0.009983675 -0.640492349 -2.667743902
## [266]  2.455060778  1.289042304  1.464834078  2.198079582 -2.876746306
## [271]  0.060055521 -3.142504794 -2.634807935  1.505301199 -2.740709424
## [276]  1.905774831  2.017633169  0.099735552  3.015656624  1.825438683
## [281] -0.131569292 -1.322834911  1.736775731 -0.592930367  1.928894090
## [286]  2.367428208  0.290098251  3.070879292  1.901858849 -0.148458186
## [291] -3.160670480 -0.350752444 -0.898366238  0.861502720 -1.473211209
## [296]  1.111453285 -1.529405423  0.258107397 -1.904656129  1.848956846
## [301]  1.150509115  1.152918867  1.932277477 -2.222289178  0.309135098
## [306] -3.290318919 -2.664442991 -1.831829290 -0.648431973
predict(cancer_pca)[,1]
##   [1] -0.646329947 -0.610508061 -0.749550736  1.096019632  0.036188930
##   [6] -0.532567242 -2.543550172  2.572207921  1.272938608  1.396823254
##  [11]  2.064989024 -3.094017924  0.217887666 -3.138457875 -2.644849262
##  [16]  1.650628200 -2.832351242  1.926614145  2.058726013  0.277622753
##  [21]  3.229605844  1.856494117 -0.050480044 -3.114648178  0.277610744
##  [26] -0.593103049  0.798726715 -1.483179713  1.135171580 -1.513992882
##  [31]  1.249804903 -1.015659657  1.959456710  2.332965976  1.785139801
##  [36]  2.803119610 -0.906183428  0.625607571 -0.980782008 -2.531034433
##  [41] -1.849943675 -0.768929068  1.593703995 -1.913272210  1.543800949
##  [46]  0.292377930 -0.251600030  0.254838293  0.179367433  0.952911843
##  [51] -0.851848170  0.301087025 -0.906545994 -1.669956979  0.195017025
##  [56]  0.200650077  0.518073225 -1.831824121  0.685756178 -0.498748639
##  [61] -0.851501742  1.671406217 -1.102287719  0.487489582 -1.821523333
##  [66]  1.890194887 -0.908993115 -2.188253111  1.922127515  1.831473258
##  [71]  1.111645609  1.972055116 -3.014541351  0.297544932 -3.123513629
##  [76] -2.175119346  0.988165063 -3.171148404  1.909872378  1.884232732
##  [81]  0.148410514  3.159260208  1.589202745 -0.735262114 -2.492696658
##  [86]  0.164831585 -0.791080564  1.019972886  1.355490521 -0.217694604
##  [91]  0.200980870 -1.224091912 -1.377079915  1.105509567 -1.763739245
##  [96]  2.144246653 -0.247301899 -0.943580309  1.434728986 -3.084789560
## [101] -2.211988131  0.934186102 -3.134406710  1.829037095  1.889637650
## [106]  0.304495611  3.150251750  1.504721972 -0.513569276 -2.049787993
## [111] -0.548863117  0.137370850 -0.769133382  1.052948611 -0.832893079
## [116] -0.521560718 -2.590558669  2.565856126  1.890132650  1.809485293
## [121]  1.154753405 -3.068643554  0.603092803 -0.262265717 -2.166676433
## [126]  1.396820173 -2.621538470  1.904628487  2.449232521  0.346806820
## [131]  3.029389183  1.929414827 -0.087138867 -3.286936885 -0.243063096
## [136] -0.885383059  0.779845934 -1.475619881  1.315156524 -1.435594309
## [141]  0.311554205 -1.898169897  1.817982682  1.132188201  1.041211639
## [146]  1.911956582 -2.208254898  0.199618587 -3.151824202 -2.581152399
## [151] -1.821212050 -0.709027954  1.527353442  0.134446169  2.379419131
## [156]  1.816004356  0.693446059  1.637082331  0.296933463  0.822754284
## [161] -0.918911402  0.231900961 -1.013939681 -1.772694007  0.113097963
## [166]  0.075576812  0.477358107 -1.789229364  0.719595969 -0.479345237
## [171] -0.706487604  1.659264316 -1.053631487  0.439619994 -1.736485551
## [176]  1.908193822 -1.025193951 -2.229264288  1.957225328  1.838526733
## [181]  1.180112751  1.811861750 -3.110670459  0.360229263 -3.223541067
## [186] -2.269746579  2.747577269 -0.149697264  2.400777592  2.664155409
## [191]  0.613534144  2.833005133  3.117056920  1.396552964 -2.512642306
## [196]  0.041302770 -0.813244847  0.986709032  1.252252204 -0.137885258
## [201]  0.136542296 -1.270419897 -1.511779573  1.085397022 -1.937338444
## [206]  2.079880884 -0.238660237 -0.159651843  1.500566250 -3.014209221
## [211] -2.105058072  0.942418911 -3.148924082  1.878394695  1.966715740
## [216]  0.277041266  3.171498795  1.556928786 -0.616500433 -2.586211894
## [221]  0.137716815  0.865093182 -0.913971012  0.313977949 -1.072776501
## [226] -1.699472023  0.251825578  0.014567830  0.504752774 -1.698692239
## [231]  0.558690456 -0.464475998 -0.736607022  1.791907070 -1.021622690
## [236]  0.511871527 -1.857682768  1.973432877 -0.844025398  1.798603632
## [241]  0.567970913 -3.128591618  0.921300172 -0.707766669  0.727027732
## [246] -0.813209418  1.137562086 -1.568549443  0.206337661  0.582400965
## [251]  1.852485410  1.069824793  1.320083419  1.826416008 -2.295131492
## [256]  0.184324517 -3.143108851 -2.658851944 -1.871308247 -0.711591973
## [261]  1.686997211 -1.858110215 -0.009983675 -0.640492349 -2.667743902
## [266]  2.455060778  1.289042304  1.464834078  2.198079582 -2.876746306
## [271]  0.060055521 -3.142504794 -2.634807935  1.505301199 -2.740709424
## [276]  1.905774831  2.017633169  0.099735552  3.015656624  1.825438683
## [281] -0.131569292 -1.322834911  1.736775731 -0.592930367  1.928894090
## [286]  2.367428208  0.290098251  3.070879292  1.901858849 -0.148458186
## [291] -3.160670480 -0.350752444 -0.898366238  0.861502720 -1.473211209
## [296]  1.111453285 -1.529405423  0.258107397 -1.904656129  1.848956846
## [301]  1.150509115  1.152918867  1.932277477 -2.222289178  0.309135098
## [306] -3.290318919 -2.664442991 -1.831829290 -0.648431973
#The aboved two gives us the same thing. predict is a good function to know.
cancer$LUNG_CANCER <- as.factor(cancer$LUNG_CANCER)
out <- sapply(1:5, function(i){plot(cancer$LUNG_CANCER,cancer_pca$x[,i],xlab=paste("PC",i,sep=""),ylab="LUNG CANCER")})

pairs(cancer_pca$x[,1:5], ylim = c(-6,4),xlim = c(-6,4),panel=function(x,y,...){text(x,y,cancer$LUNG_CANCER)})

# Better Ways to Visualize

library(factoextra)
## Welcome! Want to learn more? See two factoextra-related books at https://goo.gl/ve3WBa
library(FactoMineR)
library(ggfortify)
library(psych)
## 
## Attaching package: 'psych'
## 
## The following object is masked from 'package:car':
## 
##     logit
## 
## The following objects are masked from 'package:ggplot2':
## 
##     %+%, alpha
library(corrplot)
## corrplot 0.92 loaded
library(devtools)
## Loading required package: usethis
# Correlation
pairs.panels(cancer[,-1],
             gap = 0,
             bg = c("red", "blue")[cancer$LUNG_CANCER],
             pch=21)

pairs.panels(cancer_pca$x,
             gap=0,
             bg = c("red", "blue")[cancer$LUNG_CANCER],
             pch=21)

fviz_eig(cancer_pca, addlabels = TRUE)

fviz_pca_var(cancer_pca,col.var = "cos2",
             gradient.cols = c("#FFCC00", "#CC9933", "#660033", "#330033"),
             repel = TRUE)

fviz_pca_ind(cancer_pca, col.ind = "cos2", 
                  gradient.cols = c("#FFCC00", "#CC9933", "#660033", "#330033"), 
                  repel = TRUE)

biplot(cancer_pca)

autoplot(cancer_pca,
         data = cancer[,-1],
         loadings = TRUE,
         labels = cancer$LUNG_CANCER)

# Different PCA Method. 
res.pca <- PCA(cancer[,-1], graph = FALSE)
print(res.pca)
## **Results for the Principal Component Analysis (PCA)**
## The analysis was performed on 309 individuals, described by 17 variables
## *The results are available in the following objects:
## 
##    name               description                          
## 1  "$eig"             "eigenvalues"                        
## 2  "$var"             "results for the variables"          
## 3  "$var$coord"       "coord. for the variables"           
## 4  "$var$cor"         "correlations variables - dimensions"
## 5  "$var$cos2"        "cos2 for the variables"             
## 6  "$var$contrib"     "contributions of the variables"     
## 7  "$ind"             "results for the individuals"        
## 8  "$ind$coord"       "coord. for the individuals"         
## 9  "$ind$cos2"        "cos2 for the individuals"           
## 10 "$ind$contrib"     "contributions of the individuals"   
## 11 "$call"            "summary statistics"                 
## 12 "$call$centre"     "mean of the variables"              
## 13 "$call$ecart.type" "standard error of the variables"    
## 14 "$call$row.w"      "weights for the individuals"        
## 15 "$call$col.w"      "weights for the variables"
# Visualize and Interpret PCA using these functions 

#get_eigenvalue(res.pca): Extract the eigenvalues/variances of principal components
#fviz_eig(res.pca): Visualize the eigenvalues
#get_pca_ind(res.pca), get_pca_var(res.pca): Extract the results for individuals and variables, respectively.
#fviz_pca_ind(res.pca), fviz_pca_var(res.pca): Visualize the results individuals and variables, respectively.
#fviz_pca_biplot(res.pca): Make a biplot of individuals and variables.

eig.val <- get_eigenvalue(res.pca)
eig.val
##        eigenvalue variance.percent cumulative.variance.percent
## Dim.1   2.8645733        16.850431                    16.85043
## Dim.2   1.9575778        11.515164                    28.36559
## Dim.3   1.6886084         9.932991                    38.29859
## Dim.4   1.4725468         8.662040                    46.96063
## Dim.5   1.3035915         7.668185                    54.62881
## Dim.6   1.0719035         6.305315                    60.93413
## Dim.7   0.9543405         5.613767                    66.54789
## Dim.8   0.8911585         5.242109                    71.79000
## Dim.9   0.8156856         4.798150                    76.58815
## Dim.10  0.7144905         4.202885                    80.79104
## Dim.11  0.6332509         3.725005                    84.51604
## Dim.12  0.5858596         3.446233                    87.96228
## Dim.13  0.5307591         3.122113                    91.08439
## Dim.14  0.5162084         3.036520                    94.12091
## Dim.15  0.4035160         2.373623                    96.49453
## Dim.16  0.3189926         1.876427                    98.37096
## Dim.17  0.2769370         1.629041                   100.00000
fviz_eig(res.pca, addlabels = TRUE, ylim = c(0, 20))

var <- get_pca_var(res.pca)
#var$coord: coordinates of variables to create a scatter plot
#var$cos2: represents the quality of representation for variables on the factor map. It’s calculated as the squared coordinates: var.cos2 = var.coord * var.coord.
#var$contrib: contains the contributions (in percentage) of the variables to the principal components. 
#The contribution of a variable (var) to a given principal component is (in percentage) : (var.cos2 * 100) / (total cos2 of the component).
var
## Principal Component Analysis Results for variables
##  ===================================================
##   Name       Description                                    
## 1 "$coord"   "Coordinates for the variables"                
## 2 "$cor"     "Correlations between variables and dimensions"
## 3 "$cos2"    "Cos2 for the variables"                       
## 4 "$contrib" "contributions of the variables"
# Coordinates
head(var$coord)
##                      Dim.1        Dim.2       Dim.3       Dim.4       Dim.5
## GENDER          0.54337453 -0.401383018  0.22584419 -0.08782501 -0.22918608
## AGE            -0.06171712  0.043087109  0.06093188  0.33908718 -0.38576562
## SMOKING         0.07282569 -0.004791661 -0.41020928  0.13047242  0.60218404
## YELLOW_FINGERS  0.64565002  0.179236082  0.18001531  0.35663511  0.02774191
## ANXIETY         0.68264262  0.287582941 -0.09705991  0.31930178  0.16216833
## PEER_PRESSURE   0.51943757  0.148012887  0.28997708  0.18320288 -0.11267604
# Cos2: quality on the factore map
head(var$cos2)
##                      Dim.1        Dim.2       Dim.3       Dim.4        Dim.5
## GENDER         0.295255880 1.611083e-01 0.051005598 0.007713232 0.0525262604
## AGE            0.003809003 1.856499e-03 0.003712695 0.114980115 0.1488151100
## SMOKING        0.005303581 2.296001e-05 0.168271650 0.017023053 0.3626256187
## YELLOW_FINGERS 0.416863951 3.212557e-02 0.032405511 0.127188604 0.0007696138
## ANXIETY        0.466000950 8.270395e-02 0.009420625 0.101953627 0.0262985688
## PEER_PRESSURE  0.269815388 2.190781e-02 0.084086710 0.033563294 0.0126958890
# Contributions to the principal components
head(var$contrib)
##                     Dim.1       Dim.2     Dim.3     Dim.4       Dim.5
## GENDER         10.3071504 8.229983180 3.0205699 0.5238021  4.02934983
## AGE             0.1329693 0.094836534 0.2198671 7.8082484 11.41577820
## SMOKING         0.1851438 0.001172879 9.9651079 1.1560279 27.81742815
## YELLOW_FINGERS 14.5523925 1.641087911 1.9190660 8.6373214  0.05903796
## ANXIETY        16.2677265 4.224810195 0.5578928 6.9236254  2.01739345
## PEER_PRESSURE   9.4190429 1.119128659 4.9796453 2.2792684  0.97391624
#The plot Below is also known as variable correlation plots. It shows the relationships between all variables. It can be interpreted as follow:

#Positively correlated variables are grouped together.
#Negatively correlated variables are positioned on opposite sides of the plot origin (opposed quadrants).
#The distance between variables and the origin measures the quality of the variables on the factor map. 
#Variables that are away from the origin are well represented on the factor map.

# Correlation circle
fviz_pca_var(res.pca, col.var = "black")

# Quality of representation


corrplot(var$cos2, is.corr=FALSE)

# Total cos2 of variables on Dim.1 and Dim.2
#A high cos2 indicates a good representation of the variable on the principal component. 
#In this case the variable is positioned close to the circumference of the correlation circle.
#A low cos2 indicates that the variable is not perfectly represented by the PCs. 
#In this case the variable is close to the center of the circle.

fviz_cos2(res.pca, choice = "var", axes = 1:2)

fviz_pca_var(res.pca, col.var = "cos2",
             gradient.cols = c("#00AFBB", "#E7B800", "#FC4E07"), 
             repel = TRUE # Avoid text overlapping
             )

# Change the transparency by cos2 values
fviz_pca_var(res.pca, alpha.var = "cos2")

corrplot(var$contrib, is.corr=FALSE)

# Contributions of variables to PC1
fviz_contrib(res.pca, choice = "var", axes = 1, top = 10)

# Contributions of variables to PC2
fviz_contrib(res.pca, choice = "var", axes = 2, top = 10)

fviz_pca_var(res.pca, col.var = "contrib",
             gradient.cols = c("#00AFBB", "#E7B800", "#FC4E07")
             )

fviz_pca_var(res.pca, alpha.var = "contrib")

fviz_pca_ind(res.pca,
             geom.ind = "point", # show points only (nbut not "text")
             col.ind = cancer$LUNG_CANCER, # color by groups
             palette = c("#00AFBB", "#E7B800", "#FC4E07"),
             addEllipses = TRUE, # Concentration ellipses
             legend.title = "Groups"
             )

res.desc <- dimdesc(res.pca, axes = c(1,2,3,4,5), proba = 0.05)
# Description of dimension 1
res.desc$Dim.1
## 
## Link between the variable and the continuous variables (R-square)
## =================================================================================
##                       correlation      p.value
## ANXIETY                 0.6826426 9.992914e-44
## YELLOW_FINGERS          0.6456500 7.793879e-38
## GENDER                  0.5433745 3.912501e-25
## PEER_PRESSURE           0.5194376 9.455303e-23
## SWALLOWING DIFFICULTY   0.4951277 1.623894e-20
## CHRONIC DISEASE         0.1527747 7.135337e-03
## FATIGUE                -0.1733971 2.221565e-03
## SHORTNESS OF BREATH    -0.2398868 2.024862e-05
## CHEST PAIN             -0.3953229 5.311468e-13
## WHEEZING               -0.4134128 3.470639e-14
## ALLERGY                -0.4220274 8.923819e-15
## COUGHING               -0.4725822 1.348181e-18
## ALCOHOL_CONSUMING      -0.5621729 3.824073e-27
res.desc$Dim.2
## 
## Link between the variable and the continuous variables (R-square)
## =================================================================================
##                       correlation      p.value
## ALCOHOL_CONSUMING       0.5785191 5.342079e-29
## SWALLOWING DIFFICULTY   0.4807769 2.808741e-19
## CHEST PAIN              0.4434148 2.578071e-16
## ALLERGY                 0.3353650 1.472853e-09
## ANXIETY                 0.2875829 2.691967e-07
## HEIGHT_INCH             0.2175340 1.158899e-04
## WEIGHT                  0.1931578 6.405221e-04
## YELLOW_FINGERS          0.1792361 1.558465e-03
## WHEEZING                0.1742479 2.111133e-03
## PEER_PRESSURE           0.1480129 9.169972e-03
## GENDER                 -0.4013830 2.169084e-13
## FATIGUE                -0.5472676 1.536608e-25
## SHORTNESS OF BREATH    -0.5941937 7.055760e-31
res.desc$Dim.3
## 
## Link between the variable and the continuous variables (R-square)
## =================================================================================
##                       correlation      p.value
## WEIGHT                  0.6461412 6.589488e-38
## HEIGHT_INCH             0.6398804 5.472206e-37
## FATIGUE                 0.3896501 1.208269e-12
## WHEEZING                0.3473159 3.451940e-10
## COUGHING                0.3243583 5.309859e-09
## PEER_PRESSURE           0.2899771 2.119051e-07
## SHORTNESS OF BREATH     0.2319069 3.850314e-05
## GENDER                  0.2258442 6.181753e-05
## YELLOW_FINGERS          0.1800153 1.485237e-03
## ALLERGY                 0.1594644 4.957700e-03
## SWALLOWING DIFFICULTY   0.1540584 6.660851e-03
## CHRONIC DISEASE         0.1373545 1.568564e-02
## SMOKING                -0.4102093 5.694847e-14
res.desc$Dim.4
## 
## Link between the variable and the continuous variables (R-square)
## =================================================================================
##                       correlation      p.value
## COUGHING                0.5205550 7.388841e-23
## WHEEZING                0.3951798 5.423773e-13
## YELLOW_FINGERS          0.3566351 1.066381e-10
## AGE                     0.3390872 9.435755e-10
## ANXIETY                 0.3193018 9.409565e-09
## SWALLOWING DIFFICULTY   0.3076735 3.371054e-08
## FATIGUE                 0.2442472 1.411838e-05
## SHORTNESS OF BREATH     0.2270468 5.633293e-05
## PEER_PRESSURE           0.1832029 1.217359e-03
## SMOKING                 0.1304724 2.178963e-02
## HEIGHT_INCH            -0.3386446 9.951940e-10
## CHRONIC DISEASE        -0.3910930 9.817881e-13
## WEIGHT                 -0.4007538 2.382475e-13
res.desc$Dim.5
## 
## Link between the variable and the continuous variables (R-square)
## =================================================================================
##                     correlation      p.value
## SMOKING               0.6021840 7.086359e-32
## CHEST PAIN            0.4151692 2.639457e-14
## HEIGHT_INCH           0.3238520 5.625588e-09
## SHORTNESS OF BREATH   0.3005202 7.193577e-08
## FATIGUE               0.2208516 9.042994e-05
## WEIGHT                0.2111866 1.843576e-04
## ANXIETY               0.1621683 4.262561e-03
## PEER_PRESSURE        -0.1126760 4.782244e-02
## ALCOHOL_CONSUMING    -0.1251900 2.777967e-02
## COUGHING             -0.1577799 5.440770e-03
## WHEEZING             -0.1739983 2.143002e-03
## GENDER               -0.2291861 4.769297e-05
## AGE                  -0.3857656 2.102151e-12
## CHRONIC DISEASE      -0.3920407 8.561877e-13
# Graph of Indiviuals
ind <- get_pca_ind(res.pca)
ind
## Principal Component Analysis Results for individuals
##  ===================================================
##   Name       Description                       
## 1 "$coord"   "Coordinates for the individuals" 
## 2 "$cos2"    "Cos2 for the individuals"        
## 3 "$contrib" "contributions of the individuals"
## Principal Component Analysis Results for individuals
##  ===================================================
##   Name       Description                       
## 1 "$coord"   "Coordinates for the individuals" 
## 2 "$cos2"    "Cos2 for the individuals"        
## 3 "$contrib" "contributions of the individuals"
#To get access to the different components, use this:

# Coordinates of individuals
head(ind$coord)
##         Dim.1       Dim.2      Dim.3      Dim.4      Dim.5
## 1 -0.64737833  0.33329155 -0.4434584  2.8638222 -0.1227976
## 2 -0.61149834  0.05895125  0.8401469 -1.6208876  1.6029338
## 3 -0.75076655 -1.50686142  2.6738807 -0.6340301  0.5553223
## 4  1.09779744  2.42412727 -1.3351264 -0.6248942  1.6228276
## 5  0.03624763 -1.47896226  1.0649454 -0.2978817 -0.8789584
## 6 -0.53343110 -1.81965177  1.5974948  0.2958878 -1.9609351
# Quality of individuals
head(ind$cos2)
##          Dim.1        Dim.2      Dim.3       Dim.4       Dim.5
## 1 2.672678e-02 0.0070840068 0.01254111 0.523025020 0.000961635
## 2 1.900811e-02 0.0001766584 0.03588053 0.133553139 0.130610912
## 3 2.962666e-02 0.1193491802 0.37580008 0.021129661 0.016209257
## 4 6.837025e-02 0.3333754002 0.10112709 0.022153161 0.149405802
## 5 7.686857e-05 0.1279686979 0.06635050 0.005191314 0.045198729
## 6 1.849176e-02 0.2151781957 0.16584432 0.005689524 0.249889581
# Contributions of individuals
head(ind$contrib)
##          Dim.1        Dim.2      Dim.3      Dim.4       Dim.5
## 1 0.0473475926 0.0183641608 0.03768932 1.80245529 0.003743518
## 2 0.0422446921 0.0005745244 0.13527672 0.57740189 0.637868526
## 3 0.0636782930 0.3753782539 1.37023997 0.08834707 0.076557951
## 4 0.1361526223 0.9714787716 0.34163107 0.08581938 0.653799764
## 5 0.0001484365 0.3616068615 0.21735379 0.01950115 0.191794730
## 6 0.0321468366 0.5473927631 0.48909303 0.01924095 0.954611078
fviz_pca_ind(res.pca)

fviz_pca_ind(res.pca, col.ind = "cos2", 
             gradient.cols = c("#00AFBB", "#E7B800", "#FC4E07"),
             repel = TRUE # Avoid text overlapping (slow if many points)
             )

fviz_pca_ind(res.pca, pointsize = "cos2", 
             pointshape = 21, fill = "#E7B800",
             repel = TRUE # Avoid text overlapping (slow if many points)
             )

fviz_pca_ind(res.pca, col.ind = "cos2", pointsize = "cos2",
             gradient.cols = c("#00AFBB", "#E7B800", "#FC4E07"),
             repel = TRUE # Avoid text overlapping (slow if many points)
             )

fviz_cos2(res.pca, choice = "ind")

# Total contribution on PC1 and PC2
fviz_contrib(res.pca, choice = "ind", axes = 1:2)

# Create a random continuous variable of length 23,
# Same length as the number of active individuals in the PCA
set.seed(123)
my.cont.var <- rnorm(309)
# Color individuals by the continuous variable
fviz_pca_ind(res.pca, col.ind = my.cont.var,
             gradient.cols = c("blue", "yellow", "red"),
             legend.title = "Cont.Var")

fviz_pca_ind(res.pca,
             geom.ind = "point", # show points only (nbut not "text")
             col.ind = cancer$LUNG_CANCER, # color by groups
             palette = c("#00AFBB", "#E7B800", "#FC4E07"),
             addEllipses = TRUE, # Concentration ellipses
             legend.title = "Groups"
             )

fviz_pca_ind(res.pca, geom.ind = "point", col.ind = cancer$LUNG_CANCER, 
             palette = c("#00AFBB", "#E7B800", "#FC4E07"),
             addEllipses = TRUE, ellipse.type = "confidence",
             legend.title = "Groups"
             )

fviz_pca_ind(res.pca,
             label = "none", # hide individual labels
             habillage = cancer$LUNG_CANCER, # color by groups
             addEllipses = TRUE, # Concentration ellipses
             palette = "jco"
             )

fviz_pca_var(res.pca, geom.var = c("point", "text"))

# Show individuals text labels only
fviz_pca_ind(res.pca, geom.ind =  "text")

# Change the size of arrows an labels
fviz_pca_var(res.pca, arrowsize = 1, labelsize = 5, 
             repel = TRUE)

# Change points size, shape and fill color
# Change labelsize
fviz_pca_ind(res.pca, 
             pointsize = 3, pointshape = 21, fill = "lightblue",
             labelsize = 5, repel = TRUE)

fviz_pca_ind(res.pca,
             geom.ind = "point", # show points only (but not "text")
             group.ind = cancer$LUNG_CANCER, # color by groups
             legend.title = "Groups",
             mean.point = FALSE)

fviz_pca_ind(res.pca,
             geom.ind = "point", # show points only (but not "text")
             group.ind = cancer$LUNG_CANCER, # color by groups
             legend.title = "Groups",
             mean.point = TRUE)

fviz_pca_var(res.pca, axes.linetype = "blank")

ind.p <- fviz_pca_ind(res.pca, geom = "point", col.ind = cancer$LUNG_CANCER)
ggpubr::ggpar(ind.p,
              title = "Principal Component Analysis",
              subtitle = "Iris data set",
              caption = "Source: factoextra",
              xlab = "PC1", ylab = "PC2",
              legend.title = "LUNG CANCER", legend.position = "top",
              ggtheme = theme_gray(), palette = "jco"
              )

fviz_pca_biplot(res.pca, repel = TRUE,col.ind = cancer$LUNG_CANCER,
                col.var = "#2E9FDF", # Variables color
                )

fviz_pca_biplot(res.pca, 
                col.ind = cancer$LUNG_CANCER, palette = "jco", 
                addEllipses = TRUE, label = "var",
                col.var = "black", repel = TRUE,
                legend.title = "LUNG CANCER") 

fviz_pca_biplot(res.pca, 
                # Fill individuals by groups
                geom.ind = "point",
                pointshape = 21,
                pointsize = 2.5,
                fill.ind = cancer$LUNG_CANCER,
                col.ind = "black",
                # Color variable by groups
                legend.title = list(fill = "LUNG CANCER", color = "Clusters"),
                repel = TRUE        # Avoid label overplotting
             )+
  ggpubr::fill_palette("jco")+      # Indiviual fill color
  ggpubr::color_palette("npg")      # Variable colors

fviz_pca_biplot(res.pca, 
                # Individuals
                geom.ind = "point",
                fill.ind = cancer$LUNG_CANCER, col.ind = "black",
                pointshape = 21, pointsize = 2,
                palette = "jco",
                addEllipses = TRUE,
                # Variables
                alpha.var ="contrib", col.var = "contrib",
                gradient.cols = "RdYlBu",
                
                legend.title = list(fill = "LUNG CANCER", color = "Contrib",
                                    alpha = "Contrib")
                )